X is a Random Variable

PDF = f(x) = for x > 0 & 0 elsewhere.

Y is a Random Variable

Y|X ~ N(X,)

Find: joint PDF of (X,Y) , E[Y|X] and E[Y]

f(x) = e^(-x)

Question

X is a Random Variable   PDF = f(x) =  for x > 0 & 0 elsewhere.   Y is a Random Variable  Y|X ~ N(X,)   Find: joint PDF of (X,Y) , E[Y|X] and E[Y]  f(x) = e^(-x)

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