Recitation1Solutions

Recitation1Solutions - Steven Weber Dept. of ECE Drexel...

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Unformatted text preview: Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2008) Recitation 1 Solutions (Friday, April 4) Exercise 12, 2.2, p57. Consider randomly selecting a student at a certain university and let A denote the event that the selected individual has a Visa credit card, and B be the analogous event for a MasterCard. Suppose that P ( A ) = 0 . 5 , P ( B ) = 0 . 4 , and P ( A B ) = 0 . 25 . Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event A B ). P ( A B ) = P ( A ) + P ( B )- P ( A B ) = 0 . 5 + 0 . 4- . 25 = 0 . 65 . (1) What is the probability that the selected individual has neither type of card? P (( A B ) ) = 1- P ( A B ) = 0 . 35 . (2) Describe, in terms of A and B , the event that the selected student has a Visa card but not a MasterCard, and then compute the probability of this event....
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