6. Let C be a set of N numbers. Choose one of these / numbers at random, i.e., all values in C are equally likely. Call the chosen number X. Then, X is said to have the Discrete Uniform distribution with parameter C; we denote this by X ~ DUnif(C). Its PMF is based on the naive definition of probability, i.e., P(X = i) = N 1 for i E C, and 0 otherwise. For example, if X randomly takes on any value from C = {-10, -9, -8, . . ., 0, . . ., 8, 9, 10} where the set C contains 21 values, then X ~ DUnif(C) and P(X = 2) = 1 if i E C and 0 otherwise. (a) Find the mean of a Discrete Uniform r.v. X defined on C = {1, 2, . .., n}. (b) Find the variance of a Discrete Uniform r.v. X defined on C = {1, 2, . .. , n}