Question 1

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability  . 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose a probability distribution of a random...

Question 2

An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of the random variable X, where X denotes the number of questions answered correctly by a randomly chosen student, is represented by the accompanying histogram. The rectangle with base centered on the number 8 is missing. What should be the height of this rectangle?
​  ​
height = __________

Accepted Answer

The answer of An examination consisting of ten true-or-false questions...

Question 3

Three balls are selected at random without replacement from an urn containing four green balls and six red balls. Let the random variable X denote the number of green balls drawn. List the outcomes of the experiment.

Accepted Answer

The answer of Three balls are selected at random without...

Question 4

The probability distribution of the random variable X is shown in the accompanying table.  
 Find the following, rounded to two decimal places, if necessary.  __________  __________  __________  __________

Accepted Answer

The answer of The probability distribution of the random variable...

Question 5

After the private screening of a new television pilot, audience members were asked to rate the new show on a scale of 1 to 10 (10 being the highest rating). From a group of 140 people, the accompanying responses were obtained.  ​ ​
Let the random variable X denote the rating given to the show by a randomly chosen audience member. Find the probability distribution associated with these data. Round answer to the nearest thousandth. 
A) ​ 
B) ​  ​
C) ​  ​
D) ​  ​
E) ​  ​

Accepted Answer

The answer of After the private screening of a new...

Question 6

The probability distribution of the random variable X is shown in the accompanying table.  Find the following, rounded to two decimal places if necessary.  __________  __________  __________

Accepted Answer

The answer of The probability distribution of the random variable...

Question 7

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.
X = The distance a commuter travels to work

Accepted Answer

The answer of Give the range of values that the...

Question 8

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability  . ​  ​
A) ​ 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose a probability distribution of a random...

Question 9

Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are cast. Find P(X = 7).

Accepted Answer

The answer of Let X denote the random variable that...

Question 10

Four cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find  .

Accepted Answer

The answer of Four cards are drawn from a well-shuffled...

Question 11

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.
​
X = The number of times a die is thrown until a 5 appears.

Accepted Answer

The answer of Give the range of values that the...

Question 12

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability  . ​  ​
A) ​ 
B) 
C) 
D) 
E)

Accepted Answer

The area of the shaded portion of the histogram is equal to the probability of the variable X taking a value between 2 and 4. The height of the bars at 2 and 4 are 0.3 and 0.4 respectively. The width of each bar is 1. Therefore, the shaded area is equal to (0.3+0.4)*1/2 = 0.35, which is equal to the required probability 11eab448_e7ae_5c08_acdb_3ba74e561f09_TB6027_11.

Question 13

A survey was conducted by the Public Housing Authority in a certain community among 1,000 families to determine the distribution of families by size. The results follow.  Find the probability distribution of the random variable X, where X denotes the number of persons in a randomly chosen family. ​     
A) ​  ​
B) ​  ​
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of A survey was conducted by the Public...

Question 14

A die is cast repeatedly until a 4 falls uppermost. Let the random variable X denote the number of times the die is cast. What are the values that X may assume?

Accepted Answer

The answer of A die is cast repeatedly until a...

Question 15

The rates paid by 30 financial institutions on a certain day for money market deposit accounts are shown in the accompanying table.  Let the random variable X denote the interest paid by a randomly chosen financial institution on its money market deposit accounts and find the probability distribution associated with these data.

Accepted Answer

The answer of The rates paid by 30 financial institutions...

Question 16

An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of the random variable X, where X denotes the number of questions answered correctly by a randomly chosen student, is represented by the accompanying histogram. The rectangle with base centered on the number 8 is missing. What should be the height of this rectangle?
​  ​
height = __________

Accepted Answer

The answer of An examination consisting of ten true-or-false questions...

Question 17

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.
X = The number of defective watches in a sample of six watches.

Accepted Answer

The answer of Give the range of values that the...

Question 18

Cards are selected one at a time without replacement from a well-shuffled deck of 52 cards until a jack is drawn. Let X denote the random variable that gives the number of cards drawn. What values may X assume?

Accepted Answer

The answer of Cards are selected one at a time...

Question 19

The following table gives the 2002 age distribution of U.S. population:  Let the random variable X denote a randomly chosen age group within the population. What percentage of the U.S. population is between 20 to 44 years old, inclusive?
A) 6.06%
B) 24.07%
C) 63.82%
D) 30.12%
E) 36.18%

Accepted Answer

The answer of The following table gives the 2002 age...

Question 20

An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of the random variable X, where X denotes the number of questions answered correctly by a randomly chosen student, is represented by the accompanying histogram. The rectangle with base centered on the number 8 is missing. What should be the height of this rectangle?
​  ​
height = __________

Accepted Answer

The answer of An examination consisting of ten true-or-false questions...

Quiz 8: Probability Distributions and Statistics

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .

Three balls are selected at random without replacement from an urn containing four green balls and six red balls. Let the random variable X denote the number of green balls drawn. List the outcomes of the experiment.

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places, if necessary.

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places if necessary. __

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The distance a commuter travels to work

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .

Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are cast. Find P(X = 7).

Four cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find .

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The number of times a die is thrown until a 5 appears.

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .

A survey was conducted by the Public Housing Authority in a certain community among 1,000 families to determine the distribution of families by size. The results follow. Find the probability distribution of the random variable X, where X denotes the number of persons in a randomly chosen family.

A die is cast repeatedly until a 4 falls uppermost. Let the random variable X denote the number of times the die is cast. What are the values that X may assume?

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The number of defective watches in a sample of six watches.

Cards are selected one at a time without replacement from a well-shuffled deck of 52 cards until a jack is drawn. Let X denote the random variable that gives the number of cards drawn. What values may X assume?

The following table gives the 2002 age distribution of U.S. population: Let the random variable X denote a randomly chosen age group within the population. What percentage of the U.S. population is between 20 to 44 years old, inclusive?

Quiz 8: Probability Distributions and Statistics

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .

Three balls are selected at random without replacement from an urn containing four green balls and six red balls. Let the random variable X denote the number of green balls drawn. List the outcomes of the experiment.

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places, if necessary. __________ __________ __________ __________

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places if necessary. __________ __________ __________

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The distance a commuter travels to work

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability . ​ ​

Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are cast. Find P(X = 7).

Four cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find .

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. ​ X = The number of times a die is thrown until a 5 appears.

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability . ​ ​

A die is cast repeatedly until a 4 falls uppermost. Let the random variable X denote the number of times the die is cast. What are the values that X may assume?

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The number of defective watches in a sample of six watches.

Cards are selected one at a time without replacement from a well-shuffled deck of 52 cards until a jack is drawn. Let X denote the random variable that gives the number of cards drawn. What values may X assume?

The following table gives the 2002 age distribution of U.S. population: Let the random variable X denote a randomly chosen age group within the population. What percentage of the U.S. population is between 20 to 44 years old, inclusive?

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places, if necessary.

The probability distribution of the random variable X is shown in the accompanying table. Find the following, rounded to two decimal places if necessary. __

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. X = The number of times a die is thrown until a 5 appears.

Suppose a probability distribution of a random variable X is represented by the accompanying histogram. Shade that part of the histogram whose area gives the probability .