(a) sketch the PDF of X.
(b) sketch the CDF of Y.
(c) Are X and Y independent? Justify
(d) find the conditional PDF of Y given X = 1
(e) find the probability that Y is atleast 1, if X is equal to 1.
Table 1: Joint PDf for Question 5
I
0
1
2
0
0.12
0.08
0.06
Y
2
4
0.04
0.05
0.12 0.30
0.04
0.19
Fig: 1