iiiji±∞||±∞∞±| |²∞±∞∞±∞±²∑R∑³³³³³³RR3+1312:( )=:()=12ECE302 Homework #3XXixiXxYYYjxgx yXiYddy xgx yXYnidxdyiYX=( ) = 2exp( 2 )0=02()=12=012==()=1=2?()E()=()(=() =1= ( )() =() ()E[+]=E+Var[+ ] = Var[ ]Var[ ] = 0= 0YX.Xfxx, <x<.,Y,YX.Xp x,x, ,...,,YYX.YgXab.e,<x<YfyYXYgX.pypx.gX.fyfxdxgX.fyfxy g x ,i ,...,n.XY g X .yf y dyg x f x dxXabaXbaXbbaXbaXXXX.Assigned 9/21/09, Due 10/2/09 (by 4:30 in dropbox in MSEE 330)1. Text, problem 4.77, page 2222. A random variable is related to a random variable by(a) Suppose is a continuous random variable with pdfelseFind the pdf of and the probability that is greater than(b) Suppose is a discrete random variable with pmfelse.Find the pmf of and the probability that is greater than(c) Explain how the answers to the above two parts change if3. Consider the limitershown in Figure P4.3 on p. 220 of the text withand. Assume that(a) What kind of random variable is(b) Findusing the density method(c) Findusing the distribution method
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This note was uploaded on 09/14/2010 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue.