Determine the conditional density


Assume a point (X,Y) is selected randomly at random from region in the (x,y) plane where 0< y < 4 - x^2, -2 < x < 2.

a) Determine the conditional density fx(x| Y = y) as a function of x and y

b) Calculate the probability P(Y< |3X|)

c) Calculate E (X^2Y)

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Basic Statistics: Determine the conditional density
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