Unformatted text preview: t time units of operation. (b) Find the PDF of the time of failure of a randomly selected chip. (c) To weed out bad chips, each chip is tested for t time units, and only chips that do not fail during the testing period are shipped to customers. Find a formula for the probability that a customer receives a bad chip (as a function of the constants α , p , and t ). If p = 0 . 9, how long should the testing be to make the probability of shipping bad product be below 1%? 3. Suppose X 1 , X 2 , . . . , X n are independent and identically distributed (i.i.d.) random variables with the uniform distribution over [0 , 1]. (a) Let Y = max( X 1 , X 2 , . . . , X n ). Find the CDF of Y . (b) Let Z = min( X 1 , X 2 , . . . , X n ). Find the CDF of Z . (c) Find the joint CDF of random variables Y and Z . Compiled October 6, 2008 Page 1 of 1...
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This note was uploaded on 12/02/2011 for the course ENGINEERIN EE302 taught by Professor Proasin during the Spring '11 term at South Carolina.
 Spring '11
 Proasin
 Computer Science, Electrical Engineering

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