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Unformatted text preview: ECE 603 - Probability and Random Processes, Fall 2010 Homework #2 Due: 10/1/10, in class 1. (a) A student has four different pairs of shoes and never wears the same pair on two consecutive days (but he/she always wears a matched pair). In how many ways can he/she wear shoes in 5 days? (b) A closet contains 8 pairs of shoes. If 4 shoes are selected at random, what is the probability that there is no complete pair? What is the probability that there is exactly one complete pair? 2. Suppose that three trucks leave a warehouse with 20 parts in the first truck, 40 parts in the second truck, and 40 parts in the third truck. Suppose that there are 5, 10, and 2 defective parts out of those in the respective trucks. Suppose I receive my shipment of five parts randomly drawn from those on one of the trucks, where the three trucks are equally likely to have made my delivery. (a) What is the probability that there are exactly three defective parts out of the five parts in my shipment?...
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- Fall '10
- Set Theory, Probability theory, bad chips, Xcompany