Unformatted text preview: ²fth ±ip, what is the frequency function of number of ±ips? 5. (2 points) Let1 / 9 < c < 1 / 9 be a constant. Let p X,Y ( x, y ) be given by the following table: Y X1 11 1 9 1 9c 1 9 + c 1 9 + c 1 9 1 9c 1 1 9c 1 9 + c 1 9 (a) Show that the frequency function of X + Y is the convolution of the frequency functions of X and Y for all c . (b) Show that X and Y are independent if and only if c = 0. 1...
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 Fall '11
 Wierman
 Probability, Probability theory, joint density

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