Spring 2011 Homework 3 - Probability and Statistics for...

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Probability and Statistics for Engineering Homework 3 Spring 2011 (due Tuesday, February 8) (1) Suppose is a discrete random variable with and . (Let's just say \ œ $! œ % \ .5 \\ represents some type of count.) (a) Find . IÒ "!!  #\Ó (b) Find Var . Ð"!!  #\Ñ (c) Find . 5 "!!#\ (d) Write a Chebyshev statement with for (in words, not symbols). 5œ& \ (2) Recall the roulette wheel random variable from Homework 2. ] counts the number of spins needed until the ball lands in a black slot. Ñ The density table is as follows. 12 3 4 0ÐCÑ *" ! !*" !* "* "* "* "* "* "* "* ††† Š‹ # 3 It is surprisingly difficult to find the mean of . (If you apply the expected value formula ] directly, you end up with an infinite sum which is not a geometric series. Try it if you like.)
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This document was uploaded on 05/15/2011.

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