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Unformatted text preview: EE 464 Midterm Exam(2) Nov. 3, 2009 12:30pm1:50pm Name: ID Number: Remote Location(Den students): • This is a close book exam. You are not allowed to use books, notes and computers, but allowed to bring in 1 crib sheet and calculators. • Write your name, remote location and ID number in the space provided before start. • The maximum score is 100 points. Prob. Max. Score Your Score 1 25 2 25 3 25 4 25 5 25 6 25 total 150 1 Problem 1. (25 points) Find the probability that a random hand of 13 cards (there are 13 spades in a set of cards of 52)contains exactly 7 spade. 2 Problem 2. (25 points) Find moments m k = E ( X k ) for all positive integer k , where random variable X has the Beta distribution with density function f X ( x ) = x (1 x ) B (2 , 2) for x ∈ [0 , 1] and 0 elsewhere. B (2 , 2) = R 1 x (1 x ) dx is the beta function. 3 Problem 3. (25 points) A biased coin shows head with probability 1 3 . Toss the coin repeat edly. There are two players. The first player wins if 2 heads occurs before 3 tails. The secondedly....
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This note was uploaded on 09/16/2010 for the course EE 464 taught by Professor Caire during the Spring '06 term at USC.
 Spring '06
 Caire

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