Let f(x,y) is a joint probability density function of (X,Y) continuous random variable as below.
f(x,y)={
1/8(6-x-y) 0 < x ≤ 2, 2 < y ≤ 4
0 otherwise
a) P(X≤ 1, Y ≤ 3)=?
b) P(X≤ 1 | Y ≤ 3)=?
c) Find the marginal density functions of X and Y.
d) Find the joint probability distribution function.