mslife3242 mslife3242
  • 06-06-2023
  • Mathematics
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10. (50 points) Let X and Y be random variables having the joint pdf x + y 0 < x < 1, 0 < y < 1 f(x, y) = { ={8 0 otherwise (a) Find Cov(X, Y). (b) Find E(X|Y = y) for 0 < y < 1. (c) Find E(YeX+X−¹|X = x) for 0 < x < 1. (d) (20 points) Find the mgf M(t, s) = E(etX+sY). (Hint: integration by parts)

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