X and Y are jointly distributed by PDF: fX,Y(x,y)={c −1≤x≤0 and 0≤y≤(x+1) 0 otherwise a. Find the value of c. b. Find the marginal PDF of Y, fY(y). c. Find the conditional PDF of X given Y , fX∣Y(x∣y). d. Find E[X|Y=0.5] e. Are X and Y independent? Why?

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A: Formula : E(X) = ΣX *P(X)

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A: Solution

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A:

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A: Step 1: Step 2: Step 3: Step 4: