please explain and show steps to solve

Question 3 [30 marks] When Norika visits Meshiya, she will meet a monk at the eatery at least one in a week. Let C be the number of days Norika visits Meshiya in a week. The PMF of C is c =1,2,3, 4,5,6,7 p(c) = 28' 0, otherwise Let D be the number of days she meets the monk at the eatery, where D follows a discrete uniform distribution on [1, c]. Find (a) the probability generating function for C. [3 marks] (b) the CDF for C. [3 marks] (c) P(C + D = 5) [4 marks] (d) P(C > D) [4 marks] (e) E(D) [5 marks] (f) P(C = 7 | D=6) [5 marks] (g) Var(D | C