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Unformatted text preview: ECEN 303: Assignment 5 Problems: 1. An irregular student is taking a difficult class. On any given homework, his score takes value from 1 to 10, with equal probability 0.1, independently of other assignments. Determined to do well, the student decides to take advantage of a “best out of two” grading policy, where only the top score out of two assignments is recorded. His final score can be computed as F = max { X 1 , X 2 } . (a) Calculate the PMF of F . (b) By how much has his expected score improved as a result of submitting two assignments? 2. Five distinct numbers are randomly distributed to players numbered 1 through 5. Whenever two players compare their numbers, the one with the higher one is declared the winner. Initially, player 1 and 2 compare their numbers; the winner then compares with player 3, and so on. Let X denote the number of times player 1 is a winner. Find Pr( X = i ) , i = 0 , 1 , 2 , 3 , 4....
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 Fall '07
 Chamberlain
 Probability, Probability theory, Fischer

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