Probability and Statistics for EngineeringHomework 3Spring 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. ]Ð]counts the number ofspins needed until the ball lands in a black slot. ÑThe density table is as follows.1234Cá0ÐCÑ*"!!*"!*"*"*"*"*"*"*"*†††Š‹#3It 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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