5.9 For each of the following joint distributions of X and Y calculate the density of Y|X...

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5.9 For each of the following joint distributions of X and Y calculate the density of Y|X and E[Y | X]:

a)

f(x, y) = λ2e−λ(x+y)

, x, y > 0 b)

f(x, y) = λ2e−λy, y>x> 0 c)

f(x, y) = xe−x(y+1), x, y > 0

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