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STAT 190 Let X and Y have the joint probability density function (PDF), f X,Y (x,...

STAT 190 Let X and Y have the joint probability density function (PDF), f X,Y (x, y) = kx, 0 < x < 1, 0 < y < 1 - x^2,

= 0, elsewhere,

where k is a constant.

1) What is the value of k.

2)What is the marginal PDF of X.

3) What is the E(X^2 Y).

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