PLEASE TAKE AS MUCH TIME AS YOU NEED TO SOLVE THIS PROBLEM, ALL I NEED IS A CORRECT ANSWER WITH ALL THE STEPS.

I WILL INCLUDE THE Standard normal distribution table JUST IN CASE YOU NEED IT.

THANK YOU!!

part(1) Suppose X1, X2,.., X, are independent and identically distributed random variables that have geometric distributions, on positive integers. The probability mass function is defined as: P(X) = p(1 -p) *-1 a) Compute the mean of the distribution using the moment generating function [Hint: ER=Oak = , if lal