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Exam 6: Probability

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Question 71

Multiple Choice

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A posterior probability value is a prior probability value that has been:

A) modified on the basis of new information.
B) multiplied by a conditional probability value.
C) divided by a conditional probability value.
D) added to a conditional probability value.

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Question 72

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If two events are independent, what is the probability that they both occur?

A) 0
B) 0.50
C) 1.00
D) Cannot be determined from the information given

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Question 73

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The probability of the intersection is called a joint probability.

If event A and event B cannot occur at the same time, then A and B are said to be

Bayes' Law is used to compute:

There are ____________________ requirements of probabilities for the outcomes of a sample space.

Suppose P(A) = 0.30.The probability of the complement of A is:

The sample space of the toss of a balanced die is S = {1, 2, 3, 4, 5, 6}.If the die is balanced, each simple event (outcome) has the same probability.Find the probability of the following events: a. Rolling an odd number b. Rolling a number less than or equal to 3 c. Rolling a number greater than or equal to 5 d. Rolling a number between 2 and 5, inclusive.

The ____________________ rule is used to calculate the probability of the union of two events.

If A and B are two independent events with P(A) = 0.9 and P(B|A) = 0.5, then P(A and B) = 0.45.

Two events A and B are said to be independent if P(A|B) = P(B).

If A and B are disjoint events with P(A) = 0.70, then P(B) :

The probability of an event is the ____________________ of the probabilities of the simple events that constitute the event.

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

The collection of all possible outcomes of an experiment is called:

College Professorship A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A, and let B = receiving an offer from college B. -{College Professorship Narrative} What is the probability that at least one college will make her an offer?

Events A and B are either independent or mutually exclusive.

We can apply the multiplication rule to compute the probability that two events occur at the same time.

Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. -{Hobby Shop Sales Narrative} What is the probability of selling between 1 and 3 (inclusive) trucks in any given week?

Alana, Eva, and Stephanie, three candidates for the presidency of a college's student body, are to address a student forum.The forum's organizer is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected. a. What is the random experiment? b. List the outcomes in the sample space. c. Assign probabilities to the outcomes. d. What is the probability that Stephanie will speak first? e. What is the probability that Alana will speak before Stephanie does?