Question 1

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.

Question 2

An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.25, and P(E3) = 0.05.The probability of outcome E4 is

Accepted Answer

A)  0.500. 
B)  0.0025. 
C)  0.100. 
D)  0. 
A)  0.500. 
B)  0.0025. 
C)  0.100. 
D)  0.

Question 3

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 4

Revised probabilities of events based on additional information are _____ probabilities.

Accepted Answer

A)  joint 
B)  posterior 
C)  independent 
D)  complementary 
A)  joint 
B)  posterior 
C)  independent 
D)  complementary

Question 5

From a group of six people, two individuals are to be selected at random.How many selections are possible?

Accepted Answer

A)  12 
B)  36 
C)  15 
D)  8 
A)  12 
B)  36 
C)  15 
D)  8

Question 6

A student has to take 12 more courses before he can graduate.If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

Accepted Answer

The answer of A student has to take 12 more...

Question 7

Events A and B are mutually exclusive.Which of the following statements is also true?

Accepted Answer

A)  A and B are also independent. 
B)  P(A ∪ 
B)  = P(
A) P(
B)  
C)  P(A ∪ 
B)  = P(
A)  + P(
B)  
D)  P(A ∩ 
B)  = P(
A)  + P(
B)  
A)  A and B are also independent. 
B)  P(A ∪ 
B)  = P(
A) P(
B)  
C)  P(A ∪ 
B)  = P(
A)  + P(
B)  
D)  P(A ∩ 
B)  = P(
A)  + P(
B)

Question 8

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 9

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

Accepted Answer

A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given. 
A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given.

Question 10

An experiment consists of three steps.There are five possible results on the first step, two possible results on the second step, and three possible results on the third step.The total number of experimental outcomes is

Accepted Answer

A)  10. 
B)  625. 
C)  150. 
D)  180. 
A)  10. 
B)  625. 
C)  150. 
D)  180.

Question 11

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 12

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 13

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 14

The sum of the probabilities of two complementary events is

Accepted Answer

A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0. 
A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0.

Question 15

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 16

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

Accepted Answer

A)  Pie chart. 
B)  Venn diagram. 
C)  Pareto chart. 
D)  Box plot. 
A)  Pie chart. 
B)  Venn diagram. 
C)  Pareto chart. 
D)  Box plot.

Question 17

The union of events A and B is the event containing all the sample points belonging to

Accepted Answer

A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both. 
A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both.

Question 18

Some of the CDs produced by a manufacturer are defective.From the production line, 4 CDs are selected and inspected.How many sample points exist in this experiment?

Accepted Answer

A)  4 
B)  8 
C)  16 
D)  256 
A)  4 
B)  8 
C)  16 
D)  256

Question 19

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 20

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

Accepted Answer

A)  0. 
B)  0.15. 
C)  0.1. 
D)  0.65. 
A)  0. 
B)  0.15. 
C)  0.1. 
D)  0.65.

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

An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.25, and P(E₃) = 0.05.The probability of outcome E₄ is

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.

Revised probabilities of events based on additional information are _____ probabilities.

From a group of six people, two individuals are to be selected at random.How many selections are possible?

A student has to take 12 more courses before he can graduate.If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

Events A and B are mutually exclusive.Which of the following statements is also true?

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

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

An experiment consists of three steps.There are five possible results on the first step, two possible results on the second step, and three possible results on the third step.The total number of experimental outcomes is

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

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, 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 complement of A is all

The sum of the probabilities of two complementary events is

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

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

The union of events A and B is the event containing all the sample points belonging to

Some of the CDs produced by a manufacturer are defective.From the production line, 4 CDs are selected and inspected.How many sample points exist in this experiment?

If P(A ∩ B) = 0,

If A and B are mutually exclusive events with P(A) = 0.25 and P(B) = 0.4, 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

Filters

Exam 4: Introduction to Probability

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

An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.25, and P(E3) = 0.05.The probability of outcome E4 is

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.

Revised probabilities of events based on additional information are _____ probabilities.

From a group of six people, two individuals are to be selected at random.How many selections are possible?

A student has to take 12 more courses before he can graduate.If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

Events A and B are mutually exclusive.Which of the following statements is also true?

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

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

An experiment consists of three steps.There are five possible results on the first step, two possible results on the second step, and three possible results on the third step.The total number of experimental outcomes is

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

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, 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 complement of A is all

The sum of the probabilities of two complementary events is

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

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

The union of events A and B is the event containing all the sample points belonging to

Some of the CDs produced by a manufacturer are defective.From the production line, 4 CDs are selected and inspected.How many sample points exist in this experiment?

If P(A ∩ B) = 0,

If A and B are mutually exclusive events with P(A) = 0.25 and P(B) = 0.4, 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

Filters

An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.25, and P(E₃) = 0.05.The probability of outcome E₄ is

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