Question: For continuous random variables X and Y with joint probability density function. a. Find P(X > 1 and Y > 1). b. Find the marginal

For continuous random variables X and Y with joint probability density function.

хе-«+ху) х > 0 and y > 0 f (x) = otherwise

a. Find P(X > 1 and Y > 1).

b. Find the marginal probability density functions fX (x) and fY (y).

c. Are X and Y independent? Explain

-+) > 0 and y > 0 f (x) = otherwise

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