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The conditional probability distribution of Y given X = x is f Y|x ( y )= xe – xy for y > 0 and

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The conditional probability distribution of Y given X = x is f Y|x ( y )= xe – xy for y > 0 and

The conditional probability distribution of Y given X = x is f Y|x ( y )= xe – xy for y > 0 and

The conditional probability distribution of Y given X = x is fY|x (y)= xe–xy for y > 0 and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10

(a) Graph fY|x (y)= xe–xy  for y > 0 for several values of x. Determine

(b) P(Y < 2|X =2 )

(c) E(Y|X = 2)

(d) E(Y |X = x)

(e) fxy(x,y)

(f) fy(y)

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