The joint density function of continuous random variables X and Y is given by: cxy, 0 1).

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Question 6
The joint density function of continuous random variables X and Y is given by:
fx, y(x, y) =
{
cxy,
0
0≤ y ≤ 1, y < x < 2,
elsewhere.
(a) Let A be the area in the xy plane where the joint density function is non-zero. Draw a sketch
of the area A.
(b) Find the value of c.
(c) Find P(X > 1).
Transcribed Image Text:Question 6 The joint density function of continuous random variables X and Y is given by: fx, y(x, y) = { cxy, 0 0≤ y ≤ 1, y < x < 2, elsewhere. (a) Let A be the area in the xy plane where the joint density function is non-zero. Draw a sketch of the area A. (b) Find the value of c. (c) Find P(X > 1).
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