ee302hw3_Fa11

ee302hw3_Fa11 - ECE302 Homework #3 Assigned 9/22/11, Due...

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±² D J i 3 +1 3 ± ± ±∞ || ECE302 Homework #3 DJ X X D J X Xi x i ()=02 5 2 2 ()=05 05 15 = ( ) = 2exp( 2 ) 0 =0 2 ()= 1 2 =01 2 = . XX fx . , < x < . f x ., .<x<. . GG X GX G . X X YX Y X . X x , < x <. , Y, Y X. X p x , x , ,. .., , YY X . Assigned 9/22/11, Due 10/4/11 (by 4:30 in dropbox in MSEE 330) 1. Text, problem 3.25, page 133 2. Text, problem 3.39, page 134 3. Dwightand Jim are having a snowball ±ght. and are the positions, in feet (to left and right), which their respective snowballs land relative to the target. We have that Dwight²s snowballs have a pdf Jim has more consistent aim, but aims a little to the right, so that (a) What are the mean and variance of and ? (b) Let and be the events that that Dwight and Jim, respectively, throw a good toss (within 0.5 feet of the target). Find the conditional pdf, mean and variance for given , and for given (c) Suppose it is not known whose snowball is tossed, and the probabilitythat the snowball comes from Dwight or Jim are equally likely. Let denote the position where the snowball lands relative to the target. Find the pdf, mean and variance of . Is the
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ee302hw3_Fa11 - ECE302 Homework #3 Assigned 9/22/11, Due...

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