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Let X and Y Be Two Random Variables with Joint f(x,y)={Ax2y0<x<1,0<y<20 elsewhere f ( x , y ) = \left\{ \begin{array} { l l } A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \\0 & \text { elsewhere }\end{array} \right.

Question 9

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Let X and Y be two random variables with joint probability density function f(x,y)={Ax2y0<x<1,0<y<20 elsewhere f ( x , y ) = \left\{ \begin{array} { l l } A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \\0 & \text { elsewhere }\end{array} \right.
(a) Find A.
(b) Find the marginal distribution function of X.

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