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Unformatted text preview: EE 351K PROBABILITY & RANDOM PROCESSES FALL 2011 Instructor: Sujay Sanghavi sanghavi@mail.utexas.edu Homework 4 Due: September 29th in class Problem 1 There are n multiplechoice questions in an exam, each with 5 choices. The student knows the correct answer to k of them, and for the remaining n k guesses one of the 5 randomly. Let C be the number of correct answers, and W be the number of wrong answers. (a) What is the PMF of W ? Is W one of the common random variables we have seen in class? (b) What is the PMF of C ? What is its mean, E [ C ] ? Problem 2 Fischer and Spassky play a suddendeath chess match whereby the first player to win a game wins the match. Each game is won by Fischer with probability p , by Spassky with probability q , and is a draw with probability 1 p q . (a) What is the probability that Fischer wins the match? (b) What is the PMF, the mean, and the variance of the duration of the match?...
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This note was uploaded on 02/20/2012 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.
 Spring '07
 BARD

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