please help me with follow questions, thank you.

Consider the joint probability density function for random variables X,Y (32$ for 03mc,0y1 fxy($,y) = { 0 otherwise where c is a constant. (a) Find the value of c which makles ny(:c,y) a proper joint probability density function. Use this value of c to answer the remaining parts of this question. (b) Derive the marginal probability density function fy(y) and the conditional probability density function fX|y(a:|y). Are X and Y independent? ' (c) Compute Prob(2X + Y S 1). (d) Consider Z = 26X. Derive the cumulative density function FZ(z). (e) Consider A = X + eY and B = 63'. Derive the joint probability density function fAB(a,b). '