Hi. I tried but i couldn't solve this question.

Question 2 (20 marks): Let X be a geometric random variable with the success probability p, A = {X Z 3}. (a) Find the Probability Mass Function pX(:r;) 2 P[X : k], k E 3X. (5 marks) (b) Find Epr]. (5 marks) (0) Find the conditional Probability Mass Function p X (11':|A) = P[X = klA], k E 8);. (5 marks) ((1) Find E[X|A] (hint: 22:10 -p)k_1p = l (5 marks))