Suppose the joint p.d.f of (X,Y) is given by f(x,y) = x^2 + xy/3 0 < x < 1 , 0 < y < 2 = 0 otherwise

a) Verify that given f(x,y) is a joint density function?

b) Find marginal and conditional probability density functions?

c) Compute P (Y < | X < )