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Unformatted text preview: Fy(y) = P[Y 5 y] directly, as we did in recitation. You will receive extra-credit if you can do it both ways. Question Three (BainIEngelhardt , p. 226) (6 points) Let X be a random variable that is uniformly distributed on [O,1] (i.e. f (x) = 1 on that interval and zero elsewhere). Use two techniques from class ("2- stepn/CDF technique and the transformation method) to determine the PDF of each of the following: Question Four (BainIEngelhardt p. 227) If X N Binomial(n,p), then find the pdf of Y = n -X. Question Five (BainIEngelhardt p. 227) Let X and Y have joint PDF f (x,Y) = 4e-2(x+y) for 0 < x < 00 and 0 < y < co, and zero otherwise. 1. Find the CDF of W = X + Y . 2. Find the joint pdf of U = $ and V = X. 3. Find the marginal pdf of U....
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- Fall '10
- Probability theory, MIT OpenCourseWare http://ocw.mit.edu, Konrad Menzel