Question 1

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.

Accepted Answer

A)  binomial 
B)  Poisson 
C)  hypergeometric 
D)  exponential 
A)  binomial 
B)  Poisson 
C)  hypergeometric 
D)  exponential

Question 2

The weight of an object, measured to the nearest gram, is an example of a _____ random variable.

Accepted Answer

A)  continuous 
B)  discrete 
C)  nominal 
D)  mixed type 
A)  continuous 
B)  discrete 
C)  nominal 
D)  mixed type

Question 3

Consider the probability distribution below.   ​ The variance of x equals

Accepted Answer

A)  9. 
B)  23. 
C)  81. 
D)  610. 
A)  9. 
B)  23. 
C)  81. 
D)  610.

Question 4

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

Accepted Answer

A)  2. 
B)  5. 
C)  6. 
D)  10. 
A)  2. 
B)  5. 
C)  6. 
D)  10.

Question 5

General Hospital has noted that they admit an average of 7 patients per hour.
a.
What is the probability that during the next hour less than 3 patients will be admitted?
b.
What is the probability that during the next two hours exactly 7 patients will be admitted?

Accepted Answer

​
a.
0.029

Question 6

A description of the distribution of the values of a random variable and their associated probabilities is called a

Accepted Answer

A)  probability distribution. 
B)  empirical discrete distribution. 
C)  bivariate distribution. 
D)  table of binomial probability. 
A)  probability distribution. 
B)  empirical discrete distribution. 
C)  bivariate distribution. 
D)  table of binomial probability.

Question 7

In a binomial experiment, the probability

Accepted Answer

A)  does not change from trial to trial. 
B)  changes from trial to trial. 
C)  could change from trial to trial, depending on the situation under consideration. 
D)  could change depending on the number of outcomes. 
A)  does not change from trial to trial. 
B)  changes from trial to trial. 
C)  could change from trial to trial, depending on the situation under consideration. 
D)  could change depending on the number of outcomes.

Question 8

A random variable that may take on any value in an interval or collection of intervals is known as a _____ random variable.

Accepted Answer

A)  continuous 
B)  discrete 
C)  mixed type 
D)  multivariate 
A)  continuous 
B)  discrete 
C)  mixed type 
D)  multivariate

Question 9

A measure of the average value of a random variable is called a(n)

Accepted Answer

A)  variance. 
B)  standard deviation. 
C)  expected value. 
D)  coefficient of variation. 
A)  variance. 
B)  standard deviation. 
C)  expected value. 
D)  coefficient of variation.

Question 10

The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3.The probability that there are 8 occurrences in ten minutes is

Accepted Answer

A)  .0241. 
B)  .0771. 
C)  .1126. 
D)  .9107. 
A)  .0241. 
B)  .0771. 
C)  .1126. 
D)  .9107.

Question 11

Assume that you have a binomial experiment with p = 0.4 and a sample size of 150.The variance of this distribution is

Accepted Answer

A)  36. 
B)  6. 
C)  2.9. 
D)  216. 
A)  36. 
B)  6. 
C)  2.9. 
D)  216.

Question 12

Which of the following is a required condition for a discrete probability function?

Accepted Answer

A)  f(x)   0 for all values of x 
B)  ∑f(x) = 1 for all values of x 
C)  ∑f(x) = 0 for all values of x 
D)  ∑f(x)   1 for all values of x 
A)  f(x)   0 for all values of x 
B)  ∑f(x) = 1 for all values of x 
C)  ∑f(x) = 0 for all values of x 
D)  ∑f(x)   1 for all values of x

Question 13

Forty-four percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

Accepted Answer

A)  0.6600. 
B)  0.6114. 
C)  0.5000. 
D)  0.3400. 
A)  0.6600. 
B)  0.6114. 
C)  0.5000. 
D)  0.3400.

Question 14

The probability that Pete will catch fish when he goes fishing is .88.Pete is going to fish 3 days next week.Define the random variable x to be the number of days Pete catches fish.The variance of the number of days Pete will catch fish is

Accepted Answer

A)  0.56. 
B)  0.88. 
C)  2.64. 
D)  0.3168. 
A)  0.56. 
B)  0.88. 
C)  2.64. 
D)  0.3168.

Question 15

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below.   The standard deviation for the production is

Accepted Answer

A)  4.32. 
B)  3.74. 
C)  0.374. 
D)  0.612. 
A)  4.32. 
B)  3.74. 
C)  0.374. 
D)  0.612.

Question 16

The following represents the probability distribution for the daily demand of computers at a local store.   ​ The probability of having a demand for at least two computers is

Accepted Answer

A)  0.75. 
B)  0.35. 
C)  0.60. 
D)  1.00. 
A)  0.75. 
B)  0.35. 
C)  0.60. 
D)  1.00.

Question 17

A weighted average of the values of a random variable, where the probability function provides weights, is known as the

Accepted Answer

A)  probable value. 
B)  median value. 
C)  expected value. 
D)  variance. 
A)  probable value. 
B)  median value. 
C)  expected value. 
D)  variance.

Question 18

A numerical description of the outcome of an experiment is called a

Accepted Answer

A)  descriptive statistic. 
B)  probability function. 
C)  variance. 
D)  random variable. 
A)  descriptive statistic. 
B)  probability function. 
C)  variance. 
D)  random variable.

Question 19

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
​

Accepted Answer

A)  2.6 and 5.77. 
B)  0.26 and 0.577. 
C)  3 and 0.01. 
D)  0 and 0.8. 
A)  2.6 and 5.77. 
B)  0.26 and 0.577. 
C)  3 and 0.01. 
D)  0 and 0.8.

Question 20

The variance Var(x) for the binomial distribution is given by equation

Accepted Answer

A)  np(n - 1). 
B)  np(1 - np). 
C)  n(1 - p). 
D)  np(1 - p). 
A)  np(n - 1). 
B)  np(1 - np). 
C)  n(1 - p). 
D)  np(1 - p).

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.

The weight of an object, measured to the nearest gram, is an example of a _____ random variable.

Consider the probability distribution below. The variance of x equals

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

General Hospital has noted that they admit an average of 7 patients per hour. a. What is the probability that during the next hour less than 3 patients will be admitted? b. What is the probability that during the next two hours exactly 7 patients will be admitted?

A description of the distribution of the values of a random variable and their associated probabilities is called a

In a binomial experiment, the probability

A random variable that may take on any value in an interval or collection of intervals is known as a _____ random variable.

A measure of the average value of a random variable is called a(n)

Assume that you have a binomial experiment with p = 0.4 and a sample size of 150.The variance of this distribution is

Which of the following is a required condition for a discrete probability function?

Forty-four percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

The probability that Pete will catch fish when he goes fishing is .88.Pete is going to fish 3 days next week.Define the random variable x to be the number of days Pete catches fish.The variance of the number of days Pete will catch fish is

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. The standard deviation for the production is

The following represents the probability distribution for the daily demand of computers at a local store. The probability of having a demand for at least two computers is

A weighted average of the values of a random variable, where the probability function provides weights, is known as the

A numerical description of the outcome of an experiment is called a

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

The variance Var(x) for the binomial distribution is given by equation

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 5: Discrete Probability Distributions

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.

The weight of an object, measured to the nearest gram, is an example of a _____ random variable.

Consider the probability distribution below. ​ The variance of x equals

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

General Hospital has noted that they admit an average of 7 patients per hour. a. What is the probability that during the next hour less than 3 patients will be admitted? b. What is the probability that during the next two hours exactly 7 patients will be admitted?

A description of the distribution of the values of a random variable and their associated probabilities is called a

In a binomial experiment, the probability

A random variable that may take on any value in an interval or collection of intervals is known as a _____ random variable.

A measure of the average value of a random variable is called a(n)

Assume that you have a binomial experiment with p = 0.4 and a sample size of 150.The variance of this distribution is

Which of the following is a required condition for a discrete probability function?

Forty-four percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

The probability that Pete will catch fish when he goes fishing is .88.Pete is going to fish 3 days next week.Define the random variable x to be the number of days Pete catches fish.The variance of the number of days Pete will catch fish is

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. The standard deviation for the production is

The following represents the probability distribution for the daily demand of computers at a local store. ​ The probability of having a demand for at least two computers is

A weighted average of the values of a random variable, where the probability function provides weights, is known as the

A numerical description of the outcome of an experiment is called a

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 ​

The variance Var(x) for the binomial distribution is given by equation

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Consider the probability distribution below. The variance of x equals

The following represents the probability distribution for the daily demand of computers at a local store. The probability of having a demand for at least two computers is

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