Question 1

The probability of the intersection of two mutually exclusive events

Accepted Answer

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

Question 2

Initial estimates of the probabilities of events are known as

Accepted Answer

A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities 
A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities

Question 3

The results of a survey of 800 married couples and the number of children they had is shown below.   If a couple is selected at random, what is the probability that the couple will have 
a.Less than 4 children?
b.More than 2 children?
c.Either 2 or 3 children?

Accepted Answer

a.0.925
b.

Question 4

The probability of an event is

Accepted Answer

A) the sum of the probabilities of the sample points in the event 
B) the product of the probabilities of the sample points in the event 
C) the minimum of the probabilities of the sample points in the event 
D) the maximum of the probabilities of the sample points in the event 
A) the sum of the probabilities of the sample points in the event 
B) the product of the probabilities of the sample points in the event 
C) the minimum of the probabilities of the sample points in the event 
D) the maximum of the probabilities of the sample points in the event

Question 5

Revised probabilities of events based on additional information are

Accepted Answer

A) joint probabilities 
B) posterior probabilities 
C) marginal probabilities 
D) complementary probabilities 
A) joint probabilities 
B) posterior probabilities 
C) marginal probabilities 
D) complementary probabilities

Question 6

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88; then P(A $\cap$ 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 7

If P(A) = 0.38, P(B) = 0.83, and P(A $\cap$ B) = 0.57; then P(A $\cup$ B) =

Accepted Answer

A) 1.21 
B) 0.64 
C) 0.78 
D) 1.78 
A) 1.21 
B) 0.64 
C) 0.78 
D) 1.78

Question 8

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A $\cup$ 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 9

A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items.
a.An item from the production line is selected. What is the probability that the selected item is non-defective?
b.Given that the selected item is non-defective, what is the probability that the machine is set up correctly?
c.What method of assigning probabilities was used here?

Accepted Answer

a.0.9335
b

Question 10

Two events are mutually exclusive if

Accepted Answer

A) the probability of their intersection is 1 
B) they have no sample points in common 
C) the probability of their intersection is 0.5 
D) the probability of their intersection is 1 and they have no sample points in common 
A) the probability of their intersection is 1 
B) they have no sample points in common 
C) the probability of their intersection is 0.5 
D) the probability of their intersection is 1 and they have no sample points in common

Question 11

The union of events A and B is the event containing

Accepted Answer

A) all the sample points common to both A and B 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B, but not both 
A) all the sample points common to both A and B 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B, but not both

Question 12

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Accepted Answer

A) 302,400 
B) 720 
C) 1,814,400 
D) 10 
A) 302,400 
B) 720 
C) 1,814,400 
D) 10

Question 13

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. The probability of the complement of Event B equals

Accepted Answer

A) 0.00 
B) 0.06 
C) 0.7 
D) None of the other answers is correct. 
A) 0.00 
B) 0.06 
C) 0.7 
D) None of the other answers is correct.

Question 14

A method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the

Accepted Answer

A) objective method 
B) classical method 
C) subjective method 
D) experimental method 
A) objective method 
B) classical method 
C) subjective method 
D) experimental method

Question 15

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

Accepted Answer

The answer of A company plans to interview 10 recent...

Question 16

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

Accepted Answer

A) 16 
B) 8 
C) 4 
D) 2 
A) 16 
B) 8 
C) 4 
D) 2

Question 17

The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:   
a.What is the probability that a randomly selected student is an undergraduate?
b.What percentage of students is engineering majors?
c.If we know that a selected student is an undergraduate, what is the probability that he or she is a business major?
d.A student is enrolled in the Arts and Sciences school. What is the probability that the student is an undergraduate student?
e.What is the probability that a randomly selected student is a graduate Business major?

Accepted Answer

a.0.8
b.35

Question 18

Safety Insurance Company has compiled the following statistics. For any one-year period:
P(accident | male driver under 25) = .22
P(accident | male driver over 25) = .15
P(accident | female driver under 25) = .16
P(accident | female driver over 25) = .14
The percentage of Safety's policyholders in each category is:
Male Under 25 20%
Male Over 25 40%
Female Under 25 10%
Female Over 25 30%
a. What is the probability that a randomly selected policyholder will have an accident within the next year?
b. Given that a driver has an accident, what is the probability the driver is a male over 25?
c. Given that a driver has no accident, what is the probability the driver is a female?

Accepted Answer

a. .162
b.

Question 19

The Board of Directors of Bidwell Valve Company has made the following estimates for the upcoming year's annual earnings:
P(earnings lower than this year) = .30
P(earnings about the same as this year) = .50
P(earnings higher than this year) = .20
After talking with union leaders, the human resource department has drawn the following conclusions:
P(Union will request wage increase | lower earnings next year) = .25
P(Union will request wage increase | same earnings next year) = .40
P(Union will request wage increase | higher earnings next year) = .90
a. Calculate the probability that the company earns the same as this year and the union requests a wage increase.
b. Calculate the probability that the company has higher earnings next year and the union does not request a wage increase.
c. Calculate the probability that the union requests a wage increase.

Accepted Answer

a. .20
b.

Question 20

In statistical experiments, each time the experiment is repeated

Accepted Answer

A) the same outcome must occur 
B) the same outcome cannot occur again 
C) a different outcome may occur 
D) None of the other answers is correct. 
A) the same outcome must occur 
B) the same outcome cannot occur again 
C) a different outcome may occur 
D) None of the other answers is correct.

The probability of the intersection of two mutually exclusive events

Initial estimates of the probabilities of events are known as

The results of a survey of 800 married couples and the number of children they had is shown below. If a couple is selected at random, what is the probability that the couple will have a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children?

The probability of an event is

Revised probabilities of events based on additional information are

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88; then P(A $\cap$ B) =

If P(A) = 0.38, P(B) = 0.83, and P(A $\cap$ B) = 0.57; then P(A $\cup$ B) =

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

Two events are mutually exclusive if

The union of events A and B is the event containing

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. The probability of the complement of Event B equals

A method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

In statistical experiments, each time the experiment is repeated

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 4: Introduction to Probability

The probability of the intersection of two mutually exclusive events

Initial estimates of the probabilities of events are known as

The results of a survey of 800 married couples and the number of children they had is shown below. If a couple is selected at random, what is the probability that the couple will have a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children?

The probability of an event is

Revised probabilities of events based on additional information are

If P(A) = 0.62, P(B) = 0.47, and P(A ∪\cup∪ B) = 0.88; then P(A ∩\cap∩ B) =

If P(A) = 0.38, P(B) = 0.83, and P(A ∩\cap∩ B) = 0.57; then P(A ∪\cup∪ B) =

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

Two events are mutually exclusive if

The union of events A and B is the event containing

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. The probability of the complement of Event B equals

A method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

In statistical experiments, each time the experiment is repeated

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88; then P(A $\cap$ B) =

If P(A) = 0.38, P(B) = 0.83, and P(A $\cap$ B) = 0.57; then P(A $\cup$ B) =

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