Question 1

A coin is tossed five times. Find the probability of getting exactly three heads.

Accepted Answer

A)  0.125 
B)  0.156 
C)  0.800 
D)  0.313 
A)  0.125 
B)  0.156 
C)  0.800 
D)  0.313 D

Question 2

Use the multinomial formula to find the probability for the situation in which n = 5, X1 = 2, X2 = 2, X3 = 1, and, p1 = 0.4, p2 = 0.4, p3 = 0.2.

Accepted Answer

A)  0.0768 
B)  0.1152 
C)  0.1536 
D)  0.2304 
A)  0.0768 
B)  0.1152 
C)  0.1536 
D)  0.2304 C

Question 3

The following distribution is not a probability distribution because

Accepted Answer

A)  values of the variable are negative. 
B)  a probability is negative. 
C)  the probability values do not add to 1. 
D)  the probability values are not discrete. 
A)  values of the variable are negative. 
B)  a probability is negative. 
C)  the probability values do not add to 1. 
D)  the probability values are not discrete. B

Question 4

Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.

Accepted Answer

The answer of Construct the probability distribution for the number...

Question 5

Find the mean of the distribution shown.

Accepted Answer

A)  0.50 
B)  1.50 
C)  1.27 
D)  1.78 
A)  0.50 
B)  1.50 
C)  1.27 
D)  1.78

Question 6

Give the mean of the following probability distribution?

Accepted Answer

A)  0.25 
B)  1.28 
C)  2.85 
D)  3.50 
A)  0.25 
B)  1.28 
C)  2.85 
D)  3.50

Question 7

Use the multinomial formula to find the probability for the following situation.
X1 = 2, X2 = 1, X3 = 3 when n = 6, p1 = 0.3, p2 = 0.5, p3 = 0.2

Accepted Answer

A)      
B)    
C)    
D)    
A)      
B)    
C)    
D)

Question 8

The probability that a Poisson random variable X is equal to 4, where   = 10, is

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

The binomial distribution equations will not give exact probabilities for experiments in which sampling is done without replacement. In those cases, the trials are not independent.

Accepted Answer

A) True 
 B)False

Question 10

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?

Accepted Answer

A)  0.048 
B)  0.116 
C)  0.181 
D)  0.312 
A)  0.048 
B)  0.116 
C)  0.181 
D)  0.312

Question 11

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below.   What is the mean of the data?

Accepted Answer

A)  1.37 
B)  2.15 
C)  1.89 
D)  1.18 
A)  1.37 
B)  2.15 
C)  1.89 
D)  1.18

Question 12

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below.   Give the standard deviation for the probability distribution.

Accepted Answer

A)  1.46 
B)  2.25 
C)  1.89 
D)  1.18 
A)  1.46 
B)  2.25 
C)  1.89 
D)  1.18

Question 13

Find the mean of the distribution shown below.

Accepted Answer

A)  2.20 
B)  3.16 
C)  3.04 
D)  3.32 
A)  2.20 
B)  3.16 
C)  3.04 
D)  3.32

Question 14

In a batch of 100 cell phones, there are, on average, 5 defective ones. If a random sample of 30 is selected, find the probability of 2 defective ones.

Accepted Answer

A)  0.0500 
B)  0.3000 
C)  0.3163 
D)  0.0667 
A)  0.0500 
B)  0.3000 
C)  0.3163 
D)  0.0667

Question 15

Give the variance of the following distribution?

Accepted Answer

A)  1.83 
B)  1.31 
C)  1.25 
D)  1.71 
A)  1.83 
B)  1.31 
C)  1.25 
D)  1.71

Question 16

The probability that federal income tax returns will have 0, 1, or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?

Accepted Answer

A)  0.043 
B)  0.086 
C)  0.192 
D)  0.384 
A)  0.043 
B)  0.086 
C)  0.192 
D)  0.384

Question 17

A die is rolled 360 times. Find the standard deviation of the number of times a 3 will be rolled.

Accepted Answer

A)  21.3 
B)  50 
C)  7.1 
D)  5.9 
A)  21.3 
B)  50 
C)  7.1 
D)  5.9

Question 18

A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

Accepted Answer

A)  36 
B)  18 
C)  4.24 
D)  6.78 
A)  36 
B)  18 
C)  4.24 
D)  6.78

Question 20

In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles?

Accepted Answer

A)  0.047 
B)  0.141 
C)  0.211 
D)  0.063 
A)  0.047 
B)  0.141 
C)  0.211 
D)  0.063

A coin is tossed five times. Find the probability of getting exactly three heads.

Use the multinomial formula to find the probability for the situation in which n = 5, X₁ = 2, X₂ = 2, X₃ = 1, and, p₁ = 0.4, p₂ = 0.4, p₃ = 0.2.

The following distribution is not a probability distribution because

Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.

Find the mean of the distribution shown.

Give the mean of the following probability distribution?

Use the multinomial formula to find the probability for the following situation. X₁ = 2, X₂ = 1, X₃ = 3 when n = 6, p₁ = 0.3, p₂ = 0.5, p₃ = 0.2

The probability that a Poisson random variable X is equal to 4, where = 10, is

The binomial distribution equations will not give exact probabilities for experiments in which sampling is done without replacement. In those cases, the trials are not independent.

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. What is the mean of the data?

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. Give the standard deviation for the probability distribution.

Find the mean of the distribution shown below.

In a batch of 100 cell phones, there are, on average, 5 defective ones. If a random sample of 30 is selected, find the probability of 2 defective ones.

Give the variance of the following distribution?

The probability that federal income tax returns will have 0, 1, or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?

A die is rolled 360 times. Find the standard deviation of the number of times a 3 will be rolled.

A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles?

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 5: Discrete Probability Distributions

A coin is tossed five times. Find the probability of getting exactly three heads.

Use the multinomial formula to find the probability for the situation in which n = 5, X1 = 2, X2 = 2, X3 = 1, and, p1 = 0.4, p2 = 0.4, p3 = 0.2.

The following distribution is not a probability distribution because

Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.

Find the mean of the distribution shown.

Give the mean of the following probability distribution?

Use the multinomial formula to find the probability for the following situation. X1 = 2, X2 = 1, X3 = 3 when n = 6, p1 = 0.3, p2 = 0.5, p3 = 0.2

The probability that a Poisson random variable X is equal to 4, where = 10, is

The binomial distribution equations will not give exact probabilities for experiments in which sampling is done without replacement. In those cases, the trials are not independent.

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. What is the mean of the data?

The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. Give the standard deviation for the probability distribution.

Find the mean of the distribution shown below.

In a batch of 100 cell phones, there are, on average, 5 defective ones. If a random sample of 30 is selected, find the probability of 2 defective ones.

Give the variance of the following distribution?

The probability that federal income tax returns will have 0, 1, or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?

A die is rolled 360 times. Find the standard deviation of the number of times a 3 will be rolled.

A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles?

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Use the multinomial formula to find the probability for the situation in which n = 5, X₁ = 2, X₂ = 2, X₃ = 1, and, p₁ = 0.4, p₂ = 0.4, p₃ = 0.2.

Use the multinomial formula to find the probability for the following situation. X₁ = 2, X₂ = 1, X₃ = 3 when n = 6, p₁ = 0.3, p₂ = 0.5, p₃ = 0.2