3. Let X and Y be continuous random variables with a joint pdf of the form f(x, y) = {k(x- (k(x+y), 0≤x≤ y ≤1 0, elsewhere d) Find the conditional pdf, f(ylx) and f(xly). e) Are X and Y independent f) Find E(X)

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3. Let X and Y be continuous random variables with a joint pdf of the form
f(x, y) =
= {k(x + y
+y), 0≤x≤ y ≤ 1
0, elsewhere
d) Find the conditional pdf, f(ylx) and f(xly).
e) Are X and Y independent
f) Find E(X)
Transcribed Image Text:3. Let X and Y be continuous random variables with a joint pdf of the form f(x, y) = = {k(x + y +y), 0≤x≤ y ≤ 1 0, elsewhere d) Find the conditional pdf, f(ylx) and f(xly). e) Are X and Y independent f) Find E(X)
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