Question: (30 Points) Consider two independent random variables X and Y with the following joint probability distribution function: F(x,y)=C(YX2+XY2)0X1,0Y2 a) Find the value of C that

(30 Points) Consider two independent random variables X and Y with the following joint probability distribution function: F(x,y)=C(YX2+XY2)0X1,0Y2 a) Find the value of C that makes this function a valid probability distribution function. b) Find marginal distribution function of X. c) Find conditional distribution function of F(xy0.5). d) Find P(y2x0)

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