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X and Y are two random variables that follow the probability density function of f (...

X and Y are two random variables that follow the probability density function of f ( x , y ) = c x 2 y for 0<x<3 and 0<y<2.

Determine the following:

(a) P(X<1&Y<1)

(b) P(1<Y<2.5)

(c) COV(X,Y)

(d) Conditional probability distribution of Y given that X=1.

Math   Statistics-And-Probability   
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