The joint pdf of a bivariate Rv (X,Y) is given by

Fxy(x,y)={k(x+2y), 0<x<y<1

0 otherwise

K a constant

Find

1. Obtain value for k

2. Find marginal pdfs of X and Y

3. Obtain the conditional density of X given Y=y, What is this density when Y=0.2

4. Are X and Y independent