5. For the joint PDF in Table 1 (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