Suppose X and Y are jointly distributed with density
\
a. Find c.
(b) Find the marginal distribution of X and Y.
(c) Find P(X > 2).
(d) Find (E[X2 ]).
(e) Find the conditional distribution of Y, given that X = 1.
(f) E[X], E[Y], E[XY], Cov(X,Y) and ρXY
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Suppose X and Y are jointly distributed with density
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variables with joint density
f(x, y) = (
ye−xy 0 < x < ∞, 1 < y < 2
0 otherwise
(a) Given that X > 1, what is the expected value of Y ? That is,
calculate E[Y | X > 1].
(b) Given that X > Y , what is the expected value of X? For this
part, you are only required
to set up the requisite integrals, but...
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Question 3 (a,b,c,d)
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