A clothing store, Threads R Us, has 900 regular customers. Of these, 60% are college students, and half of these college students do not receive a catalog in the mail. On the other hand, 30% of the customers who are not college students do receive a catalog in the mail. a. How many customers receive catalogs in the mail? b. What is the probability of a customer being a college student, given that he or she receives a catalog in the mail? c. What is the probability of a customer receiving a catalog in the mail, given that he or she is a college student?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A clothing store, Threads R Us, has 900 regular customers. Of these, 60% are college students, and half of these college students do not receive a catalog in the mail. On the other hand, 30% of the customers who are not college students do receive a catalog in the mail. a. How many customers receive catalogs in the mail? b. What is the probability of a customer being a college student, given that he or she receives a catalog in the mail? c. What is the probability of a customer receiving a catalog in the mail, given that he or she is a college student?

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Suppose we have the information regarding the probability of one event and that of its complementary event. Also, suppose we have information regarding another event given the first event and its complementary event. Now if we want to find the probability of the first event (or its complementary event) given the second event, then we use Bayes' theorem. Instead of one event and its complementary event, this can extend to a number of mutually exclusive and exhaustive events.

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