Let X and Y be continuous rvs with a joint pdf of the form: ?k(x+y), if(x,y)∈?0≤y≤x≤1?...

Question

Question

Let X and Y be continuous rvs with a joint pdf of the form:

?k(x+y), if(x,y)∈?0≤y≤x≤1?

f(x,y) =

0, otherwise

(a) Find k.
(b) Find the joint CDF F (x, y).

0, otherwise

(c) Find the conditional pdfs f(x|y) and f(y|x) (d) Find P[2Y > X]

(e) Find P[Y + 2X > 1]

Answer 1

Answer #1

Answer 2

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