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Exam 5: Probability

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Question 1

Multiple Choice

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If P(A | B) = 0.40 and P(B) = 0.30,find P(A ∩ B) .

A) .171
B) .525
C) .571
D) .120

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Question 2

Multiple Choice

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Given the contingency table shown here,if a randomly chosen student attends school in an inner city location,what is the probability that it is a public school?

A) .189
B) .333
C) .500
D) .567

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Question 3

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Given the contingency table shown here,find the probability that a randomly chosen employee is a line worker who plans to retire at age 65. Survey question: Do you plan on retiring or keep working when you turn 65?

Given the contingency table shown here,find P(A ∩ M) .

If P(A)= .20 then the odds against event A's occurrence are 4 to 1.

The sum of the probabilities of two mutually exclusive events is one.

The empirical view of probability is based on relative frequencies.

Given the contingency table shown here,find the joint probability that a call sampled at random out of this population is local and 2-5 minutes long.

Probability is the measure of the relative likelihood that an event will occur.

Independent events are mutually exclusive.

The probability that event A occurs,given that event B has occurred,is an example of:

Regarding the rules of probability,which of the following statements is correct?

The general law of addition for probabilities says P(A or B)= P(A)+ P(B)- P(A ∩ B)

Baye's Theorem shows how to revise a prior probability to obtain a conditional or posterior probability when another event's occurrence is known.

Given the contingency table shown here,find P(V) .

Given the contingency table shown here,find P(B) .

At Joe's Restaurant,80 percent of the diners are new customers (N) ,while 20 percent are returning customers (R) .Fifty percent of the new customers pay by credit card,compared with 70 percent of the regular customers.If a customer pays by credit card,what is the probability that the customer is a new customer?

From the following tree,find the probability that a randomly chosen person will not get a vaccination and will not get the flu.

The odds of an event can be calculated by dividing the event's probability by the probability of its complement.

Given the contingency table shown here,find P(E) .