Hello friends!

Its great to be a part of this forum, and I am glad to make my first post here.

There is a question of the joint probability density function that I am unable to get even the idea how to solve.

Kindly help.

Question:

If x and y are two random variables having joint density function:

f(x,y)= 1/8(6-x-y) 0<x<2, 2<y<4

0 otherwise

Find:

1) P(x<1 ∩ y<3)

2) P(x+y<3)

Thanks in advance friends.