Question 1

The intersection of two mutually exclusive events

Accepted Answer

A)  can be any value between 0 to1. 
B)  must always be equal to 1. 
C)  must always be equal to 0. 
D)  can be any positive value. 
A)  can be any value between 0 to1. 
B)  must always be equal to 1. 
C)  must always be equal to 0. 
D)  can be any positive value. C

Question 2

Of six letters (A, B, C, D, E, and F), two letters are to be selected at random. How many outcomes are possible?

Accepted Answer

A)  30 
B)  11 
C)  6! 
D)  15 
A)  30 
B)  11 
C)  6! 
D)  15 D

Question 3

A collection of sample points is a(n)

Accepted Answer

A)  event. 
B)  union. 
C)  intersection. 
D)  permutation. 
A)  event. 
B)  union. 
C)  intersection. 
D)  permutation. A

Question 4

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

Accepted Answer

A)  relative frequency 
B)  subjective 
C)  probability 
D)  classical 
A)  relative frequency 
B)  subjective 
C)  probability 
D)  classical

Question 5

Posterior probabilities are _____ probabilities.

Accepted Answer

A)  independent 
B)  marginal 
C)  joint 
D)  conditional 
A)  independent 
B)  marginal 
C)  joint 
D)  conditional

Question 6

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

Accepted Answer

A)  0.00. 
B)  1.00. 
C)  0.5. 
D)  0.25. 
A)  0.00. 
B)  1.00. 
C)  0.5. 
D)  0.25.

Question 7

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 intersection 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 8

Six puppies were born in a litter, and it is determined whether each puppy is male or female. How many sample points exist in the above experiment?

Accepted Answer

A)  64 
B)  32 
C)  16 
D)  4 
A)  64 
B)  32 
C)  16 
D)  4

Question 9

If P(A) = 0.75, P(A * B)= 0.86, and P(A ( B) = 0.56, then P(B) =

Accepted Answer

A)  0.25. 
B)  0.67. 
C)  0.56. 
D)  0.11. 
A)  0.25. 
B)  0.67. 
C)  0.56. 
D)  0.11.

Question 10

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

Accepted Answer

A)  0.07. 
B)  0.62. 
C)  0.55. 
D)  0.48. 
A)  0.07. 
B)  0.62. 
C)  0.55. 
D)  0.48.

Question 11

Two events with nonzero probabilities

Accepted Answer

A)  can be both mutually exclusive and independent. 
B)  can not be both mutually exclusive and independent. 
C)  are always mutually exclusive. 
D)  are always independent. 
A)  can be both mutually exclusive and independent. 
B)  can not be both mutually exclusive and independent. 
C)  are always mutually exclusive. 
D)  are always independent.

Question 12

An element of the sample space is

Accepted Answer

A)  an event. 
B)  an experiment. 
C)  a sample point. 
D)  probability. 
A)  an event. 
B)  an experiment. 
C)  a sample point. 
D)  probability.

Question 13

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∪ B) =

Accepted Answer

A)  0.65. 
B)  0.55. 
C)  0.10. 
D)  0.75. 
A)  0.65. 
B)  0.55. 
C)  0.10. 
D)  0.75.

Question 14

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 5 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

Accepted Answer

A)  5. 
B)  10. 
C)  25. 
D)  64. 
A)  5. 
B)  10. 
C)  25. 
D)  64.

Question 15

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

Accepted Answer

A)  0.30. 
B)  0.15. 
C)  0.00. 
D)  0.20. 
A)  0.30. 
B)  0.15. 
C)  0.00. 
D)  0.20.

Question 16

If P(A ∩ B) = 0,

Accepted Answer

A)  P(
A)  + P(
B)  = 1. 
B)  either P(
A)  = 0 or P(
B)  = 0. 
C)  A and B are mutually exclusive events. 
D)  A and B are independent events. 
A)  P(
A)  + P(
B)  = 1. 
B)  either P(
A)  = 0 or P(
B)  = 0. 
C)  A and B are mutually exclusive events. 
D)  A and B are independent events.

Question 17

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

Accepted Answer

A)  1.02. 
B)  0.77. 
C)  0.11. 
D)  0.39. 
A)  1.02. 
B)  0.77. 
C)  0.11. 
D)  0.39.

Question 18

Events that have no sample points in common are

Accepted Answer

A)  independent events. 
B)  supplements. 
C)  mutually exclusive events. 
D)  complements. 
A)  independent events. 
B)  supplements. 
C)  mutually exclusive events. 
D)  complements.

Question 19

If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =

Accepted Answer

A)  0.209. 
B)  0.000. 
C)  0.550. 
D)  0.380. 
A)  0.209. 
B)  0.000. 
C)  0.550. 
D)  0.380.

Question 20

If P(A) = 0.48, P(A ∪ B) = 0.82, and P(B) = 0.54, then P(A ∩ B) =

Accepted Answer

A)  0.3936. 
B)  0.3400. 
C)  0.2000. 
D)  1.0200. 
A)  0.3936. 
B)  0.3400. 
C)  0.2000. 
D)  1.0200.

Exam 4: Introduction to Probability

The intersection of two mutually exclusive events

Of six letters (A, B, C, D, E, and F), two letters are to be selected at random. How many outcomes are possible?

A collection of sample points is a(n)

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

Posterior probabilities are _____ probabilities.

If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) 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 intersection of A and B is all

Six puppies were born in a litter, and it is determined whether each puppy is male or female. How many sample points exist in the above experiment?

If P(A) = 0.75, P(A * B)= 0.86, and P(A ( B) = 0.56, then P(B) =

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

Two events with nonzero probabilities

An element of the sample space is

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∪ B) =

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 5 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

If P(A ∩ B) = 0,

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

Events that have no sample points in common are

If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =

If P(A) = 0.48, P(A ∪ B) = 0.82, and P(B) = 0.54, 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

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