Question 1

Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours.Assume that the patient arrivals are distributed according to Poisson distribution.
-Determine the probability of 6 patients arriving in a five-hour period.

Accepted Answer

The answer of Historical data shows that the average number...

Question 2

The requirement that the probability of success remains constant from trial to trial is a property of the _______________ distribution.

Accepted Answer

The answer of The requirement that the probability of success...

Question 3

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%.
-If 10 calculators are selected at random,what is the probability that 3 or more of the calculators will be defective?

Accepted Answer

The answer of The J.O. Supplies Company buys calculators from...

Question 4

For a random variable X,the mean value of the squared deviations of its values from their expected value is called its _____.

Accepted Answer

The answer of For a random variable X,the mean value...

Question 5

If the probability of a success on a single trial is .2,what is the probability of obtaining 3 successes in 10 trials if the number of successes is binomial?

Accepted Answer

The answer of If the probability of a success on...

Question 6

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%.
-If 100 calculators are selected at random,what is the standard deviation of the number of defectives?

Accepted Answer

The answer of The J.O. Supplies Company buys calculators from...

Question 7

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%.
-If 3 calculators are selected at random,what is the probability that exactly one of the calculators will be defective?

Accepted Answer

The answer of The J.O. Supplies Company buys calculators from...

Question 8

A vaccine is 95 percent effective. What is the probability that it is not effective for:
-More than one out of 20 individuals?

Accepted Answer

The answer of A vaccine is 95 percent effective. What...

Question 9

Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours.Assume that the patient arrivals are distributed according to Poisson distribution.
-Determine the probability of at least 4 but no more than 8 patients arriving in a three-hour period.

Accepted Answer

The answer of Historical data shows that the average number...

Question 10

If the probability distribution of X is: $$\begin{array} { c c } 
\mathrm { X } & \mathrm { P } ( \mathrm { X } ) \
0 & 0.1 \
1 & 0.2 \
2 & 0.3 \
3 & 0.4
\end{array}$$
-What is the variance of X?

Accepted Answer

The answer of If the probability distribution of X is:...

Question 11

The hypergeometric distribution is used when sampling _____ replacement from small populations

Accepted Answer

The answer of The hypergeometric distribution is used when sampling...

Question 12

The distribution whose mean is equal to its variance is the _________ distribution.

Accepted Answer

The answer of The distribution whose mean is equal to...

Question 13

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%.
-If 100 calculators are selected at random,what is the expected number of defectives?

Accepted Answer

The answer of The J.O. Supplies Company buys calculators from...

Question 14

If you roll a die 20 times,the number of times you roll a six is an example of a ________ random variable.

Accepted Answer

The answer of If you roll a die 20 times,the...

Question 15

Assume the number of trucks passing an intersection has a Poisson distribution with mean of 5 trucks per minute.What is the probability of 0 or 1 trucks in one minute?

Accepted Answer

The answer of Assume the number of trucks passing an...

Question 16

If the probability distribution of X is: $$\begin{array} { c c } 
\mathrm { X } & \mathrm { P } ( \mathrm { X } ) \
0 & 0.1 \
1 & 0.2 \
2 & 0.3 \
3 & 0.4
\end{array}$$
-What is the expected value of X?

Accepted Answer

The answer of If the probability distribution of X is:...

Question 17

A vaccine is 95 percent effective. What is the probability that it is not effective for:
-One and only one individual out of 20 individuals?

Accepted Answer

The answer of A vaccine is 95 percent effective. What...

Question 18

The number of calls coming into a PBX follows a Poisson process with a mean of 120 calls per hour.What is the probability of no calls in a one-minute interval?

Accepted Answer

The answer of The number of calls coming into a...

Question 19

The variable "employment status" which can take on one of two values: 1 for "employed" and 0 for "unemployed" is and example of a(n)_____________ random variable.

Accepted Answer

The answer of The variable "employment status" which can take...

Question 20

A discrete variable that can often be used to describe the number of occurrences of an event over a specified interval of time or space is a(n)_____ random variable.

Accepted Answer

The answer of A discrete variable that can often be...

Quiz 4: Discrete Random Variables

Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours.Assume that the patient arrivals are distributed according to Poisson distribution. -Determine the probability of 6 patients arriving in a five-hour period.

The requirement that the probability of success remains constant from trial to trial is a property of the _______________ distribution.

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 10 calculators are selected at random,what is the probability that 3 or more of the calculators will be defective?

For a random variable X,the mean value of the squared deviations of its values from their expected value is called its _____.

If the probability of a success on a single trial is .2,what is the probability of obtaining 3 successes in 10 trials if the number of successes is binomial?

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 100 calculators are selected at random,what is the standard deviation of the number of defectives?

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 3 calculators are selected at random,what is the probability that exactly one of the calculators will be defective?

A vaccine is 95 percent effective. What is the probability that it is not effective for: -More than one out of 20 individuals?

If the probability distribution of X is: $\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}$ -What is the variance of X?

The hypergeometric distribution is used when sampling _____ replacement from small populations

The distribution whose mean is equal to its variance is the _________ distribution.

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 100 calculators are selected at random,what is the expected number of defectives?

If you roll a die 20 times,the number of times you roll a six is an example of a ________ random variable.

Assume the number of trucks passing an intersection has a Poisson distribution with mean of 5 trucks per minute.What is the probability of 0 or 1 trucks in one minute?

If the probability distribution of X is: $\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}$ -What is the expected value of X?

A vaccine is 95 percent effective. What is the probability that it is not effective for: -One and only one individual out of 20 individuals?

The number of calls coming into a PBX follows a Poisson process with a mean of 120 calls per hour.What is the probability of no calls in a one-minute interval?

The variable "employment status" which can take on one of two values: 1 for "employed" and 0 for "unemployed" is and example of a(n)_____________ random variable.

A discrete variable that can often be used to describe the number of occurrences of an event over a specified interval of time or space is a(n)_____ random variable.

Quiz 4: Discrete Random Variables

Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours.Assume that the patient arrivals are distributed according to Poisson distribution. -Determine the probability of 6 patients arriving in a five-hour period.

The requirement that the probability of success remains constant from trial to trial is a property of the _______________ distribution.

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 10 calculators are selected at random,what is the probability that 3 or more of the calculators will be defective?

For a random variable X,the mean value of the squared deviations of its values from their expected value is called its _____.

If the probability of a success on a single trial is .2,what is the probability of obtaining 3 successes in 10 trials if the number of successes is binomial?

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 100 calculators are selected at random,what is the standard deviation of the number of defectives?

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 3 calculators are selected at random,what is the probability that exactly one of the calculators will be defective?

A vaccine is 95 percent effective. What is the probability that it is not effective for: -More than one out of 20 individuals?

If the probability distribution of X is: XP(X)00.110.220.330.4\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}X0123​P(X)0.10.20.30.4​ -What is the variance of X?

The hypergeometric distribution is used when sampling _____ replacement from small populations

The distribution whose mean is equal to its variance is the _________ distribution.

The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 10%. -If 100 calculators are selected at random,what is the expected number of defectives?

If you roll a die 20 times,the number of times you roll a six is an example of a ________ random variable.

Assume the number of trucks passing an intersection has a Poisson distribution with mean of 5 trucks per minute.What is the probability of 0 or 1 trucks in one minute?

If the probability distribution of X is: XP(X)00.110.220.330.4\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}X0123​P(X)0.10.20.30.4​ -What is the expected value of X?

A vaccine is 95 percent effective. What is the probability that it is not effective for: -One and only one individual out of 20 individuals?

The number of calls coming into a PBX follows a Poisson process with a mean of 120 calls per hour.What is the probability of no calls in a one-minute interval?

The variable "employment status" which can take on one of two values: 1 for "employed" and 0 for "unemployed" is and example of a(n)_____________ random variable.

A discrete variable that can often be used to describe the number of occurrences of an event over a specified interval of time or space is a(n)_____ random variable.

If the probability distribution of X is: $\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}$ -What is the variance of X?

If the probability distribution of X is: $\begin{array} { c c } \mathrm { X } & \mathrm { P } ( \mathrm { X } ) \\0 & 0.1 \\1 & 0.2 \\2 & 0.3 \\3 & 0.4\end{array}$ -What is the expected value of X?