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Exam 4: Introduction to Probability

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Question 41

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

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

E) None of the above
F) All of the above

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Question 42

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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?

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a. .162
b....

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Question 43

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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?

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

The range of probability is

The symbol  shows the

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

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

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?

If P(A  B) = 0,

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

Events that have no sample points in common are

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

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

A sample point refers to a(n)

Posterior probabilities are

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?

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

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