Consider the random variables X and Y with joint density function. 0 < x, y <1 elsewhere. (x +y, f(x,y) = } 0, a. ) State the marginal distributions of X and Y b.)Find P(X > 0.5, Y > 0.5).

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Consider the random variables X and Y with joint density function.
f(x, y) = {* *
Sx +y,
0< x, y < 1
0,
elsewhere.
a. ) State the marginal distributions of X and Y
b.)Find P(X > 0.5, Y > 0.5).
Transcribed Image Text:Consider the random variables X and Y with joint density function. f(x, y) = {* * Sx +y, 0< x, y < 1 0, elsewhere. a. ) State the marginal distributions of X and Y b.)Find P(X > 0.5, Y > 0.5).
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