Let X and Y have the joint pdf: x+y, 0, fx,y(x, y) = {{ 0≤x≤ 1,0 ≤ y ≤ 1; otherwise. (a) Determine the marginal probability density function of Y [fy (y)] (b) Determine P(X+Y<1/2) (c) Determine E(X)
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![Let X and Y have the joint pdf:
fx,x(x,y) = {2+3, 0≤x≤ 1,0 ≤ y ≤1;
0,
otherwise.
(a) Determine the marginal probability density function of Y [fy (y)]
(b) Determine P(X+Y < 1/2)
(c) Determine E(X)
(d) Determine E(X|Y = y)
(e) Determine var(X)
(f) Determine var(X|Y = y)
(g) Determine corr(X, Y)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55521067-0384-497f-95f8-f51a06d5dbdf%2Fd032c0de-869c-44c0-8335-3879d53969d0%2Fjdsr2pf_processed.png&w=3840&q=75)
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