Let X be a discrete random variable with , {1,2, 3, ...} and f (x) = as a density function. (a) Calculate the moment generating function for X. (b) Use the moment generating function to determine E(X)...

both parts plz solve it within 30-40 mins I'll give you multiple upvote (hand written)

Extracted text: Let X be a discrete random variable with , {1,2, 3, ...} and f (x) = as a density function. (a) Calculate the moment generating function for X. (b) Use the moment generating function to determine E(X) and Var(X).