6. Let the joint probability density function for (X, Y) be 1 = eY, -у f(x. y) 2 0 < y<∞, - y< x< y, zero otherwise. a) Find the marginal probability density function of X, fy(x).

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6.
Let the joint probability density
function for (X, Y) be
f(х. у) -
1
e
0 < y< ∞,
- у<х<у,
zero otherwise.
а)
Find the marginal probability density function of X, fx(x).
Transcribed Image Text:6. Let the joint probability density function for (X, Y) be f(х. у) - 1 e 0 < y< ∞, - у<х<у, zero otherwise. а) Find the marginal probability density function of X, fx(x).
c)
Are X and Y independent? If not, find Cov (X, Y).
Transcribed Image Text:c) Are X and Y independent? If not, find Cov (X, Y).
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