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Problem 3 Let X and Y have joint pdf: fxy(x, y) = k(x + y) for 0 sxs1,0 s y s 1. (a) Find k. (b) Find the joint cdf of (X, Y)
(a) Find E[(X + Y)?]. (b) Find the variance of X + Y. (c) Under what condition is the variance of the sum equal to the sum of
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Answer #1

K K ) ddy= dy1 K () K K Joint df F (11) flwy du du utv dodu du +dotherw ife 0 и ofbeawise и, and otherw ist (dPCyer) C (e и. dz 4 2 4 1 5 2 20 0.5 00 1 -x - dr t2 t3 5 23 24 D

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