Question 1

Posterior probabilities are

Accepted Answer

A) simple probabilities 
B) marginal probabilities 
C) joint probabilities 
D) conditional probabilities 
A) simple probabilities 
B) marginal probabilities 
C) joint probabilities 
D) conditional probabilities

Question 2

Assume your favorite football team has 2 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) 2 
B) 4 
C) 6 
D) None of the other answers is correct. 
A) 2 
B) 4 
C) 6 
D) None of the other answers is correct.

Question 3

Assume that in your hand you hold an ordinary six-sided die and a dime. You toss both the die and the dime on a table.
a.What is the probability that a head appears on the dime and a six on the die?
b.What is the probability that a tail appears on the dime and any number more than 3 on the die?
c.What is the probability that a number larger than 2 appears on the die?

Accepted Answer

a.1/12
b.3

Question 4

If A and B are independent events with P(A) = .1 and P(B) = .4, then

Accepted Answer

A) P(A F1F1F1S1F1F1F10 
B)  = 0 
B) P(A F1F1F1S1F1F1F10 
B)  = .04 
C) P(A F1F1F1S1F1F1F10 
B)  = .5 
D) P(A F1F1F1S1F1F1F10 
B)  = .25 
A) P(A F1F1F1S1F1F1F10 
B)  = 0 
B) P(A F1F1F1S1F1F1F10 
B)  = .04 
C) P(A F1F1F1S1F1F1F10 
B)  = .5 
D) P(A F1F1F1S1F1F1F10 
B)  = .25

Question 5

If P(A) = .6, P(B) = .3, and P(A F1F1F1S1F1F1F10 B) = .2, then P(B|A) =

Accepted Answer

A) .33 
B) .5 
C) .67 
D) .9 
A) .33 
B) .5 
C) .67 
D) .9

Question 6

The symbol F1F1F1S1F1F1F10 shows the

Accepted Answer

A) union of events 
B) intersection of events 
C) sum of the probabilities of events 
D) sample space 
A) union of events 
B) intersection of events 
C) sum of the probabilities of events 
D) sample space

Question 7

If P(A) F1F1F1S1F1F1F10 0.50, P(B) F1F1F1S1F1F1F10 0.60, and P(A F1F1F1S1F1F1F10 B) F1F1F1S1F1F1F10 0.30; then events A and B are

Accepted Answer

A) mutually exclusive events 
B) not independent events 
C) independent events 
D) Not enough information is given to answer this question. 
A) mutually exclusive events 
B) not independent events 
C) independent events 
D) Not enough information is given to answer this question.

Question 8

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 9

If P(A F1F1F1S1F1F1F10 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 10

Events that have no sample points in common are

Accepted Answer

A) independent events 
B) posterior events 
C) mutually exclusive events 
D) complements 
A) independent events 
B) posterior events 
C) mutually exclusive events 
D) complements

Question 11

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 12

The range of probability is

Accepted Answer

A) any value larger than zero 
B) any value between minus infinity to plus infinity 
C) zero to one 
D) any value between -1 to 1 
A) any value larger than zero 
B) any value between minus infinity to plus infinity 
C) zero to one 
D) any value between -1 to 1

Question 13

If P(A) F1F1F1S1F1F1F10 0.38, P(B) F1F1F1S1F1F1F10 0.83, and P(A F1F1F1S1F1F1F10 B) F1F1F1S1F1F1F10 0.57; then P(A F1F1F1S1F1F1F10 B) F1F1F1S1F1F1F10

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 14

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

Accepted Answer

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

Question 15

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

Accepted Answer

A) must occur 
B) may occur 
C) could not occur 
D) has a 2/3 probability of occurring 
A) must occur 
B) may occur 
C) could not occur 
D) has a 2/3 probability of occurring

Question 16

A marina has two party boats available for customers to rent. Historically, demand for party boats has followed this distribution shown below. The revenue per rental is $400. If a customer wants a party boat and none is available, the store gives a $150 coupon for jet ski rental.
   
a. What is the expected demand?
b. What is the expected revenue?
c. What is the expected cost?
d. What is the expected profit?

Accepted Answer

a. 1.2
b.

Question 17

The probability of at least one head in two flips of a coin is

Accepted Answer

A) 0.33 
B) 0.50 
C) 0.75 
D) 1.00 
A) 0.33 
B) 0.50 
C) 0.75 
D) 1.00

Question 18

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 19

A sample point refers to a(n)

Accepted Answer

A) numerical measure of the likelihood of the occurrence of an event 
B) set of all possible experimental outcomes 
C) individual outcome of an experiment 
D) All of these answers are correct. 
A) numerical measure of the likelihood of the occurrence of an event 
B) set of all possible experimental outcomes 
C) individual outcome of an experiment 
D) All of these answers are correct.

Question 20

A graphical method of representing the sample points of a multiple-step experiment is

Accepted Answer

A) a frequency polygon 
B) a histogram 
C) an ogive 
D) a tree diagram 
A) a frequency polygon 
B) a histogram 
C) an ogive 
D) a tree diagram

Posterior probabilities are

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

If A and B are independent events with P(A) = .1 and P(B) = .4, then

If P(A) = .6, P(B) = .3, and P(A  B) = .2, then P(B|A) =

The symbol  shows the

If P(A)  0.50, P(B)  0.60, and P(A  B)  0.30; then events A and B are

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

If P(A  B) = 0,

Events that have no sample points in common are

The range of probability is

If P(A)  0.38, P(B)  0.83, and P(A  B)  0.57; then P(A  B) 

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

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

The probability of at least one head in two flips of a coin is

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?

A sample point refers to a(n)

A graphical method of representing the sample points of a multiple-step experiment is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

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Exam 4: Introduction to Probability

Posterior probabilities are

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

If A and B are independent events with P(A) = .1 and P(B) = .4, then

If P(A) = .6, P(B) = .3, and P(A  B) = .2, then P(B|A) =

The symbol  shows the

If P(A)  0.50, P(B)  0.60, and P(A  B)  0.30; then events A and B are

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

If P(A  B) = 0,

Events that have no sample points in common are

The range of probability is

If P(A)  0.38, P(B)  0.83, and P(A  B)  0.57; then P(A  B) 

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

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

The probability of at least one head in two flips of a coin is

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?

A sample point refers to a(n)

A graphical method of representing the sample points of a multiple-step experiment is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters