Deck 5: Discrete Probability Distributions

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سؤال
A continuous random variable may assume

A)any value in an interval or collection of intervals
B)only integer values in an interval or collection of intervals
C)only fractional values in an interval or collection of intervals
D)only the positive integer values in an interval
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سؤال
The weight of an object, measured to the nearest gram, is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the weight of the object
D)either a continuous or a discrete random variable depending on the units of measurement
سؤال
A random variable that can assume only a finite number of values is referred to as a(n)

A)infinite sequence
B)finite sequence
C)discrete random variable
D)discrete probability function
سؤال
Which of the following is(are) required condition(s) for a discrete probability function?

A) Σ\Sigma f(x) \ge
B)f(x) \ge 1 for all values of x
C)f(x) <\lt 0
D)None of the answers is correct.
سؤال
Excel's __________ function can be used to compute the expected value of a discrete random variable.

A)SUMPRODUCT
B)AVERAGE
C)MEDIAN
D)VAR
سؤال
Which of the following statements about a discrete random variable and its probability distribution are true?

A)Values of the random variable can never be negative.
B)Negative values of f(x) are allowed as long as Σ\Sigma f(x) = 1.
C)Values of f(x) must be greater than or equal to zero.
D)The values of f(x) increase to a maximum point and then decrease.
سؤال
A measure of the average value of a random variable is called a(n)

A)variance
B)standard deviation
C)expected value
D)None of the answers is correct.
سؤال
The expected value of a discrete random variable

A)is the most likely or highest probability value for the random variable
B)will always be one of the values x can take on, although it may not be the highest probability value for the random variable
C)is the average value for the random variable over many repeats of the experiment
D)All of the answers are correct.
سؤال
An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. This random variable is a

A)discrete random variable
B)continuous random variable
C)complex random variable
D)None of the answers is correct.
سؤال
Variance is

A)a measure of the average, or central value of a random variable
B)a measure of the dispersion of a random variable
C)the square root of the standard deviation
D)the sum of the deviation of data elements from the mean
سؤال
The variance is a weighted average of the

A)square root of the deviations from the mean
B)square root of the deviations from the median
C)squared deviations from the median
D)squared deviations from the mean
سؤال
Which of the following is not a required condition for a discrete probability function?

A)f(x) \ge 0 for all values of x
B) Σ\Sigma f(x) = 1
C) Σ\Sigma f(x) = 0
D)All of the answers are correct.
سؤال
A weighted average of the value of a random variable, where the probability function provides weights is known as

A)a probability function
B)a random variable
C)the expected value
D)None of the answers is correct
سؤال
The weight of an object, measured in grams, is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the weight of the object
D)either a continuous or a discrete random variable depending on the units of measurement
سؤال
A numerical description of the outcome of an experiment is called a

A)descriptive statistic
B)probability function
C)variance
D)random variable
سؤال
A description of how the probabilities are distributed over the values the random variable can assume is called a

A)probability distribution
B)probability function
C)random variable
D)expected value
سؤال
An experiment consists of making 80 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is the number of sales made. This random variable is a

A)discrete random variable
B)continuous random variable
C)complex random variable
D)None of the answers is correct.
سؤال
Excel's __________ function can be used to compute the variance of a discrete random variable.

A)SUMPRODUCT
B)AVERAGE
C)MEDIAN
D)VAR
سؤال
The number of customers that enter a store during one day is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the number of the customers
D)either a continuous or a discrete random variable, depending on the gender of the customers
سؤال
The expected value of a random variable is the

A)value of the random variable that should be observed on the next repeat of the experiment
B)value of the random variable that occurs most frequently
C)square root of the variance
D)None of the answers is correct.
سؤال
In a binomial experiment, the

A)probability of success does not change from trial to trial
B)probability of success does change from trial to trial
C)probability of success could change from trial to trial, depending on the situation under consideration
D)All of these answers are correct.
سؤال
The variance for the binomial probability distribution is

A)Var(x) = p(1- p)
B)Var(x) = np
C)Var(x) = n(1 - p)
D)Var(x)= np(1 - p)
سؤال
The binomial probability distribution is used with

A)a continuous random variable
B)a discrete random variable
C)any distribution, as long as it is not normal
D)All of these answers are correct.
سؤال
Assume that you have a binomial experiment with p =0.5 and a sample size of 100. The expected value of this distribution is

A)0.50
B)0.30
C)50
D)Not enough information is given to answer this question.
سؤال
Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

A)0.2592
B)0.0142
C)0.9588
D)0.7408
سؤال
Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

A)the experiment has a sequence of n identical trials
B)exactly two outcomes are possible on each trial
C)the trials are dependent
D)the probabilities of the outcomes do not change from one trial to another
سؤال
The standard deviation is the

A)variance squared
B)square root of the sum of the deviations from the mean
C)same as the expected value
D)positive square root of the variance
سؤال
Excel's BINOM.DIST function has how many inputs?

A)2
B)3
C)4
D)5
سؤال
The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution. <strong>The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution.   The mean and the standard deviation for the number of electrical outages (respectively) are</strong> A)2.6 and 5.77 B)0.26 and 0.577 C)3 and 0.01 D)0 and 0.8 <div style=padding-top: 35px> The mean and the standard deviation for the number of electrical outages (respectively) are

A)2.6 and 5.77
B)0.26 and 0.577
C)3 and 0.01
D)0 and 0.8
سؤال
Excel's BINOM.DIST function can be used to compute

A)bin width for histograms
B)binomial probabilities
C)cumulative binomial probabilities
D)Both binomial probabilities and cumulative binomial probabilities are correct.
سؤال
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

A)uniform probability distribution
B)binomial probability distribution
C)hypergeometric probability distribution
D)normal probability distribution
سؤال
The standard deviation of a binomial distribution is

A)E(x) = pn(1 - n)
B)E(x) = np(1 - p)
C)E(x) =np
D)None of the alternative answers is correct.
سؤال
Which of the following is not a property of a binomial experiment?

A)the experiment consists of a sequence of n identical trials
B)each outcome can be referred to as a success or a failure
C)the probabilities of the two outcomes can change from one trial to the next
D)the trials are independent
سؤال
If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials, the correct probability function to use is the

A)standard normal probability density function
B)normal probability density function
C)Poisson probability function
D)binomial probability function
سؤال
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

A)0.0004
B)0.0038
C)0.10
D)0.02
سؤال
When using Excel's BINOM.DIST function, one should choose TRUE for the fourth input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)the correct answer is desired
سؤال
Which of the following is a characteristic of a binomial experiment?

A)at least 2 outcomes are possible
B)the probability of success changes from trial to trial
C)the trials are independent
D)All of these answers are correct.
سؤال
The expected value for a binomial probability distribution is

A)E(x) = pn(1- n)
B)E(x) = p(1 -0 p)
C)E(x) = np
D)E(x) = np(1- p)
سؤال
In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

A)0.0036
B)0.06
C)0.0554
D)0.28
سؤال
x is a random variable with the probability function: f(x) = x/6 for x = 1,2 or 3. The expected value of x is

A)0.333
B)0.500
C)2.000
D)2.333
سؤال
Excel's HYPGEOM.DIST function has how many inputs?

A)2
B)3
C)4
D)5
سؤال
The Poisson probability distribution is a

A)continuous probability distribution
B)discrete probability distribution
C)uniform probability distribution
D)normal probability distribution
سؤال
When sampling without replacement, the probability of obtaining a certain sample is best given by a

A)hypergeometric distribution
B)binomial distribution
C)Poisson distribution
D)normal distribution
سؤال
Excel's POISSON.DIST function has how many inputs?

A)2
B)3
C)4
D)5
سؤال
Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is

A)20
B)16
C)4
D)2
سؤال
The Poisson probability distribution is used with

A)a continuous random variable
B)a discrete random variable
C)either a continuous or discrete random variable
D)any random variable
سؤال
When using Excel's HYPGEOM.DIST function, one should choose TRUE for the fifth input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)None of the alternative answers is correct.
سؤال
Assume that you have a binomial experiment with p =0.4 and a sample size of 50. The variance of this distribution is

A)20
B)12
C)3.46
D)Not enough information is given to answer this question.
سؤال
Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.

A)discrete
B)continuous
C)uniform
D)intermittent
سؤال
When using Excel's POISSON.DIST function, one should choose TRUE for the third input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)the correct answer is desired
سؤال
To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

A)binomial probability distribution
B)Poisson probability distribution
C)hypergeometric probability distribution
D)exponential probability distribution
سؤال
In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the

A)normal distribution
B)binomial distribution
C)Poisson distribution
D)uniform distribution
سؤال
The binomial probability distribution is most symmetric when

A)n is 30 or greater
B)n equals p
C)p approaches 1
D)p equals 0.5
سؤال
Which of the following properties of a binomial experiment is called the stationarity

A)The experiment consists of n identical trials
B)Two outcomes are possible on each trial
C)The probability of success is the same for each trial
D)The trials are independent
سؤال
The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution the

A)probability of success must be less than 0.5
B)probability of success changes from trial to trial
C)trials are independent of each other
D)random variable is continuous
سؤال
Excel's HYPGEOM.DIST function can be used to compute

A)bin width for histograms
B)hypergeometric probabilities
C)cumulative hypergeometric probabilities
D)Both hypergeometric probabilities and cumulative hypergeometric probabilities are correct.
سؤال
Excel's POISSON.DIST function can be used to compute

A)bin width for histograms
B)Poisson probabilities
C)cumulative Poisson probabilities
D)Both Poisson probabilities and cumulative Poisson probabilities are correct.
سؤال
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the

A)binomial probability distribution
B)Poisson probability distribution
C)hypergeometric probability distribution
D)exponential probability distribution
سؤال
When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval, the appropriate probability distribution is a

A)binomial distribution
B)Poisson distribution
C)normal distribution
D)hypergeometric probability distribution
سؤال
The _____ probability function is based in part on the counting rule for combinations.

A)binomial
B)Poisson
C)hypergeometric
D)exponential
سؤال
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?</strong> A)0.20 B)0.55 C)1.0 D)0.95 <div style=padding-top: 35px>
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

A)0.20
B)0.55
C)1.0
D)0.95
سؤال
Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The variance is</strong> A)1.431 B)2.0475 C)3.05 D)21 <div style=padding-top: 35px>
Refer to Exhibit 5-5. The variance is

A)1.431
B)2.0475
C)3.05
D)21
سؤال
Exhibit 5-6
Probability Distribution
<strong>Exhibit 5-6 Probability Distribution   Refer to Exhibit 5-6. The expected value of x equals</strong> A)24 B)25 C)30 D)100 <div style=padding-top: 35px>
Refer to Exhibit 5-6. The expected value of x equals

A)24
B)25
C)30
D)100
سؤال
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score no goals?</strong> A)0.95 B)0.85 C)0.75 D)None of the answers is correct. <div style=padding-top: 35px>
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score no goals?

A)0.95
B)0.85
C)0.75
D)None of the answers is correct.
سؤال
Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The expected number of new clients per month is</strong> A)6 B)0 C)3.05 D)21 <div style=padding-top: 35px>
Refer to Exhibit 5-5. The expected number of new clients per month is

A)6
B)0
C)3.05
D)21
سؤال
The function used to compute the probability of x successes in n trials, when the trials are dependent, is the

A)binomial probability function
B)Poisson probability function
C)hypergeometric probability function
D)exponential probability function
سؤال
In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,

A) μ\mu = 1, x = 4
B) μ\mu = 2, x = 3
C) μ\mu = 3, x = 4
D) μ\mu = 4, x = 3
سؤال
Exhibit 5-1
The following represents the probability distribution for the daily demand of microcomputers at a local store.
<strong>Exhibit 5-1 The following represents the probability distribution for the daily demand of microcomputers at a local store.   Refer to Exhibit 5-1. The probability of having a demand for at least two microcomputers is</strong> A)0.7 B)0.3 C)0.4 D)1.0 <div style=padding-top: 35px>
Refer to Exhibit 5-1. The probability of having a demand for at least two microcomputers is

A)0.7
B)0.3
C)0.4
D)1.0
سؤال
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The probability of no breakdowns in a month is</strong> A)0.88 B)0.00 C)0.50 D)None of the alternative answers is correct. <div style=padding-top: 35px>
Refer to Exhibit 5-4. The probability of no breakdowns in a month is

A)0.88
B)0.00
C)0.50
D)None of the alternative answers is correct.
سؤال
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is</strong> A)0.5 B)0.10 C)0.30 D)None of the alternative answers is correct. <div style=padding-top: 35px>
Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is

A)0.5
B)0.10
C)0.30
D)None of the alternative answers is correct.
سؤال
In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

A)2
B)5
C)6
D)10
سؤال
The expected value of a random variable is the

A)most probable value
B)simple average of all the possible values
C)median value
D)mean value
سؤال
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The expected number of machine breakdowns per month is</strong> A)2 B)1.70 C)one D)None of the alternative answers is correct. <div style=padding-top: 35px>
Refer to Exhibit 5-4. The expected number of machine breakdowns per month is

A)2
B)1.70
C)one
D)None of the alternative answers is correct.
سؤال
A binomial probability distribution with p = .3 is

A)negatively skewed
B)symmetrical
C)positively skewed
D)bimodal
سؤال
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score less than 3 goals?</strong> A)0.85 B)0.55 C)0.45 D)0.80 <div style=padding-top: 35px>
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score less than 3 goals?

A)0.85
B)0.55
C)0.45
D)0.80
سؤال
Exhibit 5-1
The following represents the probability distribution for the daily demand of microcomputers at a local store.
<strong>Exhibit 5-1 The following represents the probability distribution for the daily demand of microcomputers at a local store.   Refer to Exhibit 5-1. The expected daily demand is</strong> A)1.0 B)2.2 C)2 D)4 <div style=padding-top: 35px>
Refer to Exhibit 5-1. The expected daily demand is

A)1.0
B)2.2
C)2
D)4
سؤال
Exhibit 5-2
The probability distribution for the daily sales at Michael's Co. is given below.
<strong>Exhibit 5-2 The probability distribution for the daily sales at Michael's Co. is given below.   Refer to Exhibit 5-2. The expected daily sales are</strong> A)$55,000 B)$56,000 C)$50,000 D)$70,000 <div style=padding-top: 35px>
Refer to Exhibit 5-2. The expected daily sales are

A)$55,000
B)$56,000
C)$50,000
D)$70,000
سؤال
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. The expected number of goals per game is</strong> A)0 B)1 C)2 D)2.35 <div style=padding-top: 35px>
Refer to Exhibit 5-3. The expected number of goals per game is

A)0
B)1
C)2
D)2.35
سؤال
Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The standard deviation is</strong> A)1.431 B)2.047 C)3.05 D)21 <div style=padding-top: 35px>
Refer to Exhibit 5-5. The standard deviation is

A)1.431
B)2.047
C)3.05
D)21
سؤال
Exhibit 5-2
The probability distribution for the daily sales at Michael's Co. is given below.
<strong>Exhibit 5-2 The probability distribution for the daily sales at Michael's Co. is given below.   Refer to Exhibit 5-2. The probability of having sales of at least $50,000 is</strong> A)0.5 B)0.10 C)0.30 D)0.90 <div style=padding-top: 35px>
Refer to Exhibit 5-2. The probability of having sales of at least $50,000 is

A)0.5
B)0.10
C)0.30
D)0.90
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Deck 5: Discrete Probability Distributions
1
A continuous random variable may assume

A)any value in an interval or collection of intervals
B)only integer values in an interval or collection of intervals
C)only fractional values in an interval or collection of intervals
D)only the positive integer values in an interval
any value in an interval or collection of intervals
2
The weight of an object, measured to the nearest gram, is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the weight of the object
D)either a continuous or a discrete random variable depending on the units of measurement
a discrete random variable
3
A random variable that can assume only a finite number of values is referred to as a(n)

A)infinite sequence
B)finite sequence
C)discrete random variable
D)discrete probability function
discrete random variable
4
Which of the following is(are) required condition(s) for a discrete probability function?

A) Σ\Sigma f(x) \ge
B)f(x) \ge 1 for all values of x
C)f(x) <\lt 0
D)None of the answers is correct.
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5
Excel's __________ function can be used to compute the expected value of a discrete random variable.

A)SUMPRODUCT
B)AVERAGE
C)MEDIAN
D)VAR
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6
Which of the following statements about a discrete random variable and its probability distribution are true?

A)Values of the random variable can never be negative.
B)Negative values of f(x) are allowed as long as Σ\Sigma f(x) = 1.
C)Values of f(x) must be greater than or equal to zero.
D)The values of f(x) increase to a maximum point and then decrease.
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7
A measure of the average value of a random variable is called a(n)

A)variance
B)standard deviation
C)expected value
D)None of the answers is correct.
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8
The expected value of a discrete random variable

A)is the most likely or highest probability value for the random variable
B)will always be one of the values x can take on, although it may not be the highest probability value for the random variable
C)is the average value for the random variable over many repeats of the experiment
D)All of the answers are correct.
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9
An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. This random variable is a

A)discrete random variable
B)continuous random variable
C)complex random variable
D)None of the answers is correct.
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10
Variance is

A)a measure of the average, or central value of a random variable
B)a measure of the dispersion of a random variable
C)the square root of the standard deviation
D)the sum of the deviation of data elements from the mean
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11
The variance is a weighted average of the

A)square root of the deviations from the mean
B)square root of the deviations from the median
C)squared deviations from the median
D)squared deviations from the mean
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12
Which of the following is not a required condition for a discrete probability function?

A)f(x) \ge 0 for all values of x
B) Σ\Sigma f(x) = 1
C) Σ\Sigma f(x) = 0
D)All of the answers are correct.
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13
A weighted average of the value of a random variable, where the probability function provides weights is known as

A)a probability function
B)a random variable
C)the expected value
D)None of the answers is correct
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14
The weight of an object, measured in grams, is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the weight of the object
D)either a continuous or a discrete random variable depending on the units of measurement
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15
A numerical description of the outcome of an experiment is called a

A)descriptive statistic
B)probability function
C)variance
D)random variable
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16
A description of how the probabilities are distributed over the values the random variable can assume is called a

A)probability distribution
B)probability function
C)random variable
D)expected value
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17
An experiment consists of making 80 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is the number of sales made. This random variable is a

A)discrete random variable
B)continuous random variable
C)complex random variable
D)None of the answers is correct.
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18
Excel's __________ function can be used to compute the variance of a discrete random variable.

A)SUMPRODUCT
B)AVERAGE
C)MEDIAN
D)VAR
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19
The number of customers that enter a store during one day is an example of

A)a continuous random variable
B)a discrete random variable
C)either a continuous or a discrete random variable, depending on the number of the customers
D)either a continuous or a discrete random variable, depending on the gender of the customers
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20
The expected value of a random variable is the

A)value of the random variable that should be observed on the next repeat of the experiment
B)value of the random variable that occurs most frequently
C)square root of the variance
D)None of the answers is correct.
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21
In a binomial experiment, the

A)probability of success does not change from trial to trial
B)probability of success does change from trial to trial
C)probability of success could change from trial to trial, depending on the situation under consideration
D)All of these answers are correct.
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22
The variance for the binomial probability distribution is

A)Var(x) = p(1- p)
B)Var(x) = np
C)Var(x) = n(1 - p)
D)Var(x)= np(1 - p)
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23
The binomial probability distribution is used with

A)a continuous random variable
B)a discrete random variable
C)any distribution, as long as it is not normal
D)All of these answers are correct.
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24
Assume that you have a binomial experiment with p =0.5 and a sample size of 100. The expected value of this distribution is

A)0.50
B)0.30
C)50
D)Not enough information is given to answer this question.
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25
Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

A)0.2592
B)0.0142
C)0.9588
D)0.7408
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26
Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

A)the experiment has a sequence of n identical trials
B)exactly two outcomes are possible on each trial
C)the trials are dependent
D)the probabilities of the outcomes do not change from one trial to another
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27
The standard deviation is the

A)variance squared
B)square root of the sum of the deviations from the mean
C)same as the expected value
D)positive square root of the variance
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28
Excel's BINOM.DIST function has how many inputs?

A)2
B)3
C)4
D)5
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29
The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution. <strong>The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution.   The mean and the standard deviation for the number of electrical outages (respectively) are</strong> A)2.6 and 5.77 B)0.26 and 0.577 C)3 and 0.01 D)0 and 0.8 The mean and the standard deviation for the number of electrical outages (respectively) are

A)2.6 and 5.77
B)0.26 and 0.577
C)3 and 0.01
D)0 and 0.8
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30
Excel's BINOM.DIST function can be used to compute

A)bin width for histograms
B)binomial probabilities
C)cumulative binomial probabilities
D)Both binomial probabilities and cumulative binomial probabilities are correct.
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31
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

A)uniform probability distribution
B)binomial probability distribution
C)hypergeometric probability distribution
D)normal probability distribution
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32
The standard deviation of a binomial distribution is

A)E(x) = pn(1 - n)
B)E(x) = np(1 - p)
C)E(x) =np
D)None of the alternative answers is correct.
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33
Which of the following is not a property of a binomial experiment?

A)the experiment consists of a sequence of n identical trials
B)each outcome can be referred to as a success or a failure
C)the probabilities of the two outcomes can change from one trial to the next
D)the trials are independent
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34
If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials, the correct probability function to use is the

A)standard normal probability density function
B)normal probability density function
C)Poisson probability function
D)binomial probability function
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35
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

A)0.0004
B)0.0038
C)0.10
D)0.02
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36
When using Excel's BINOM.DIST function, one should choose TRUE for the fourth input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)the correct answer is desired
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37
Which of the following is a characteristic of a binomial experiment?

A)at least 2 outcomes are possible
B)the probability of success changes from trial to trial
C)the trials are independent
D)All of these answers are correct.
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38
The expected value for a binomial probability distribution is

A)E(x) = pn(1- n)
B)E(x) = p(1 -0 p)
C)E(x) = np
D)E(x) = np(1- p)
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39
In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

A)0.0036
B)0.06
C)0.0554
D)0.28
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40
x is a random variable with the probability function: f(x) = x/6 for x = 1,2 or 3. The expected value of x is

A)0.333
B)0.500
C)2.000
D)2.333
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41
Excel's HYPGEOM.DIST function has how many inputs?

A)2
B)3
C)4
D)5
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42
The Poisson probability distribution is a

A)continuous probability distribution
B)discrete probability distribution
C)uniform probability distribution
D)normal probability distribution
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43
When sampling without replacement, the probability of obtaining a certain sample is best given by a

A)hypergeometric distribution
B)binomial distribution
C)Poisson distribution
D)normal distribution
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44
Excel's POISSON.DIST function has how many inputs?

A)2
B)3
C)4
D)5
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45
Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is

A)20
B)16
C)4
D)2
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46
The Poisson probability distribution is used with

A)a continuous random variable
B)a discrete random variable
C)either a continuous or discrete random variable
D)any random variable
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47
When using Excel's HYPGEOM.DIST function, one should choose TRUE for the fifth input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)None of the alternative answers is correct.
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48
Assume that you have a binomial experiment with p =0.4 and a sample size of 50. The variance of this distribution is

A)20
B)12
C)3.46
D)Not enough information is given to answer this question.
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49
Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.

A)discrete
B)continuous
C)uniform
D)intermittent
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50
When using Excel's POISSON.DIST function, one should choose TRUE for the third input if

A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)the correct answer is desired
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51
To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

A)binomial probability distribution
B)Poisson probability distribution
C)hypergeometric probability distribution
D)exponential probability distribution
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52
In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the

A)normal distribution
B)binomial distribution
C)Poisson distribution
D)uniform distribution
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53
The binomial probability distribution is most symmetric when

A)n is 30 or greater
B)n equals p
C)p approaches 1
D)p equals 0.5
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54
Which of the following properties of a binomial experiment is called the stationarity

A)The experiment consists of n identical trials
B)Two outcomes are possible on each trial
C)The probability of success is the same for each trial
D)The trials are independent
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55
The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution the

A)probability of success must be less than 0.5
B)probability of success changes from trial to trial
C)trials are independent of each other
D)random variable is continuous
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56
Excel's HYPGEOM.DIST function can be used to compute

A)bin width for histograms
B)hypergeometric probabilities
C)cumulative hypergeometric probabilities
D)Both hypergeometric probabilities and cumulative hypergeometric probabilities are correct.
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57
Excel's POISSON.DIST function can be used to compute

A)bin width for histograms
B)Poisson probabilities
C)cumulative Poisson probabilities
D)Both Poisson probabilities and cumulative Poisson probabilities are correct.
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58
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the

A)binomial probability distribution
B)Poisson probability distribution
C)hypergeometric probability distribution
D)exponential probability distribution
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59
When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval, the appropriate probability distribution is a

A)binomial distribution
B)Poisson distribution
C)normal distribution
D)hypergeometric probability distribution
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60
The _____ probability function is based in part on the counting rule for combinations.

A)binomial
B)Poisson
C)hypergeometric
D)exponential
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61
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?</strong> A)0.20 B)0.55 C)1.0 D)0.95
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

A)0.20
B)0.55
C)1.0
D)0.95
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62
Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The variance is</strong> A)1.431 B)2.0475 C)3.05 D)21
Refer to Exhibit 5-5. The variance is

A)1.431
B)2.0475
C)3.05
D)21
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63
Exhibit 5-6
Probability Distribution
<strong>Exhibit 5-6 Probability Distribution   Refer to Exhibit 5-6. The expected value of x equals</strong> A)24 B)25 C)30 D)100
Refer to Exhibit 5-6. The expected value of x equals

A)24
B)25
C)30
D)100
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64
Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score no goals?</strong> A)0.95 B)0.85 C)0.75 D)None of the answers is correct.
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score no goals?

A)0.95
B)0.85
C)0.75
D)None of the answers is correct.
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65
Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The expected number of new clients per month is</strong> A)6 B)0 C)3.05 D)21
Refer to Exhibit 5-5. The expected number of new clients per month is

A)6
B)0
C)3.05
D)21
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66
The function used to compute the probability of x successes in n trials, when the trials are dependent, is the

A)binomial probability function
B)Poisson probability function
C)hypergeometric probability function
D)exponential probability function
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67
In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,

A) μ\mu = 1, x = 4
B) μ\mu = 2, x = 3
C) μ\mu = 3, x = 4
D) μ\mu = 4, x = 3
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68
Exhibit 5-1
The following represents the probability distribution for the daily demand of microcomputers at a local store.
<strong>Exhibit 5-1 The following represents the probability distribution for the daily demand of microcomputers at a local store.   Refer to Exhibit 5-1. The probability of having a demand for at least two microcomputers is</strong> A)0.7 B)0.3 C)0.4 D)1.0
Refer to Exhibit 5-1. The probability of having a demand for at least two microcomputers is

A)0.7
B)0.3
C)0.4
D)1.0
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69
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The probability of no breakdowns in a month is</strong> A)0.88 B)0.00 C)0.50 D)None of the alternative answers is correct.
Refer to Exhibit 5-4. The probability of no breakdowns in a month is

A)0.88
B)0.00
C)0.50
D)None of the alternative answers is correct.
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70
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is</strong> A)0.5 B)0.10 C)0.30 D)None of the alternative answers is correct.
Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is

A)0.5
B)0.10
C)0.30
D)None of the alternative answers is correct.
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71
In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

A)2
B)5
C)6
D)10
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72
The expected value of a random variable is the

A)most probable value
B)simple average of all the possible values
C)median value
D)mean value
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Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
<strong>Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.   Refer to Exhibit 5-4. The expected number of machine breakdowns per month is</strong> A)2 B)1.70 C)one D)None of the alternative answers is correct.
Refer to Exhibit 5-4. The expected number of machine breakdowns per month is

A)2
B)1.70
C)one
D)None of the alternative answers is correct.
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74
A binomial probability distribution with p = .3 is

A)negatively skewed
B)symmetrical
C)positively skewed
D)bimodal
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Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score less than 3 goals?</strong> A)0.85 B)0.55 C)0.45 D)0.80
Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score less than 3 goals?

A)0.85
B)0.55
C)0.45
D)0.80
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Exhibit 5-1
The following represents the probability distribution for the daily demand of microcomputers at a local store.
<strong>Exhibit 5-1 The following represents the probability distribution for the daily demand of microcomputers at a local store.   Refer to Exhibit 5-1. The expected daily demand is</strong> A)1.0 B)2.2 C)2 D)4
Refer to Exhibit 5-1. The expected daily demand is

A)1.0
B)2.2
C)2
D)4
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Exhibit 5-2
The probability distribution for the daily sales at Michael's Co. is given below.
<strong>Exhibit 5-2 The probability distribution for the daily sales at Michael's Co. is given below.   Refer to Exhibit 5-2. The expected daily sales are</strong> A)$55,000 B)$56,000 C)$50,000 D)$70,000
Refer to Exhibit 5-2. The expected daily sales are

A)$55,000
B)$56,000
C)$50,000
D)$70,000
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Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
<strong>Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below.   Refer to Exhibit 5-3. The expected number of goals per game is</strong> A)0 B)1 C)2 D)2.35
Refer to Exhibit 5-3. The expected number of goals per game is

A)0
B)1
C)2
D)2.35
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Exhibit 5-5
AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
<strong>Exhibit 5-5 AMR is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.   Refer to Exhibit 5-5. The standard deviation is</strong> A)1.431 B)2.047 C)3.05 D)21
Refer to Exhibit 5-5. The standard deviation is

A)1.431
B)2.047
C)3.05
D)21
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Exhibit 5-2
The probability distribution for the daily sales at Michael's Co. is given below.
<strong>Exhibit 5-2 The probability distribution for the daily sales at Michael's Co. is given below.   Refer to Exhibit 5-2. The probability of having sales of at least $50,000 is</strong> A)0.5 B)0.10 C)0.30 D)0.90
Refer to Exhibit 5-2. The probability of having sales of at least $50,000 is

A)0.5
B)0.10
C)0.30
D)0.90
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