Question 1

A six-sided die is tossed 4times. The probability of observing four ones in a row is

Accepted Answer

A)  4/6. 
B)  1/6. 
C)  1/4096. 
D)  1/1296. 
A)  4/6. 
B)  1/6. 
C)  1/4096. 
D)  1/1296.

Question 2

The set of all possible outcomes of an experiment is

Accepted Answer

A)  a sample point. 
B)  an event. 
C)  the population. 
D)  the sample space. 
A)  a sample point. 
B)  an event. 
C)  the population. 
D)  the sample space.

Question 3

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The complement of A is all

Accepted Answer

A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due. 
A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due.

Question 4

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) =

Accepted Answer

A)  0.240. 
B)  0.060. 
C)  0.380. 
D)  0.620. 
A)  0.240. 
B)  0.060. 
C)  0.380. 
D)  0.620.

Question 5

If P(A) = 0.45, P(B) = 0.55, and P(A ∪ B) = 0.78, then P(A | B) =

Accepted Answer

A)  0.00 
B)  0.45 
C)  0.22 
D)  0.40 
A)  0.00 
B)  0.45 
C)  0.22 
D)  0.40

Question 6

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The union of A and B is all

Accepted Answer

A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due. 
A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due.

Question 7

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black card?

Accepted Answer

A)  1/52 
B)  4/52 
C)  13/52 
D)  26/52 
A)  1/52 
B)  4/52 
C)  13/52 
D)  26/52

Question 8

Initial estimates of the probabilities of events are known as _____ probabilities.

Accepted Answer

A)  subjective 
B)  posterior 
C)  conditional 
D)  prior 
A)  subjective 
B)  posterior 
C)  conditional 
D)  prior

Question 9

In statistical experiments, each time the experiment is repeated

Accepted Answer

A)  the same outcome must occur. 
B)  the same outcome can not occur again. 
C)  a different outcome might occur. 
D)  a different out come must occur. 
A)  the same outcome must occur. 
B)  the same outcome can not occur again. 
C)  a different outcome might occur. 
D)  a different out come must occur.

Question 10

Assume your favorite soccer team has 4 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Accepted Answer

A)  4. 
B)  12. 
C)  64. 
D)  81. 
A)  4. 
B)  12. 
C)  64. 
D)  81.

Question 11

Assume your favorite soccer team has 3 games left to finish the season. The outcome of each game can be win, lose, or tie. How many possible outcomes exist?

Accepted Answer

A)  7 
B)  27 
C)  36 
D)  64 
A)  7 
B)  27 
C)  36 
D)  64

Question 12

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Accepted Answer

A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails. 
A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails.

Question 13

Which of the following is not a proper sample space when all undergraduates at a university are considered?

Accepted Answer

A)  S = {in-state, out-of-state} 
B)  S = {freshmen, sophomores} 
C)  S = {age under 21, age 21 or over} 
D)  S = {a business major, not a business major} 
A)  S = {in-state, out-of-state} 
B)  S = {freshmen, sophomores} 
C)  S = {age under 21, age 21 or over} 
D)  S = {a business major, not a business major}

Question 14

The probability of an event is the _____ of the probabilities of the sample points in the event.

Accepted Answer

A)  sum 
B)  product 
C)  minimum 
D)  maximum 
A)  sum 
B)  product 
C)  minimum 
D)  maximum

Question 15

Events A and B are mutually exclusive with P(C) = 0.35 and P(B) = 0.25. Then, P(Bc) =

Accepted Answer

A)  0.62. 
B)  0.50. 
C)  0.75. 
D)  0.60. 
A)  0.62. 
B)  0.50. 
C)  0.75. 
D)  0.60.

Question 16

If P(A) = 0.6, P(B)= 0.5, and P(A *B) =0.20, then P(B | A) =

Accepted Answer

A)  .33. 
B)  .4. 
C)  .9. 
D)  .5. 
A)  .33. 
B)  .4. 
C)  .9. 
D)  .5.

Question 17

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

Accepted Answer

A)  0.62. 
B)  0.12. 
C)  0.60. 
D)  0.68. 
A)  0.62. 
B)  0.12. 
C)  0.60. 
D)  0.68.

Question 18

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

Accepted Answer

A)  0.2914. 
B)  1.9700. 
C)  0.6700. 
D)  0.2100. 
A)  0.2914. 
B)  1.9700. 
C)  0.6700. 
D)  0.2100.

Question 19

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A ∩ B) =

Accepted Answer

A)  0.05. 
B)  0.0325. 
C)  0.65. 
D)  0.8. 
A)  0.05. 
B)  0.0325. 
C)  0.65. 
D)  0.8.

Question 20

If X and Y are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

Accepted Answer

A)  0.0944. 
B)  0.6150. 
C)  1.0000. 
D)  0.0000. 
A)  0.0944. 
B)  0.6150. 
C)  1.0000. 
D)  0.0000.

Exam 4: Introduction to Probability

A six-sided die is tossed 4times. The probability of observing four ones in a row is

The set of all possible outcomes of an experiment is

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The complement of A is all

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) =

If P(A) = 0.45, P(B) = 0.55, and P(A ∪ B) = 0.78, then P(A | B) =

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The union of A and B is all

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black card?

Initial estimates of the probabilities of events are known as _____ probabilities.

In statistical experiments, each time the experiment is repeated

Assume your favorite soccer team has 4 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Assume your favorite soccer team has 3 games left to finish the season. The outcome of each game can be win, lose, or tie. How many possible outcomes exist?

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Which of the following is not a proper sample space when all undergraduates at a university are considered?

The probability of an event is the _____ of the probabilities of the sample points in the event.

Events A and B are mutually exclusive with P(C) = 0.35 and P(B) = 0.25. Then, P(Bc) =

If P(A) = 0.6, P(B)= 0.5, and P(A *B) =0.20, then P(B | A) =

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A ∩ B) =

If X and Y are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Events A and B are mutually exclusive with P(C) = 0.35 and P(B) = 0.25. Then, P(B^c) =