The probability function of a random variable is given by :
P(X = n) = [3^(n - 1) + 3]/(4^n) where n = 2,3,4,........infinity.
Find the expected value of X.
[Note: The following relation can be used without proof if you feel necessary:
Σ [nr^(n - 1)] where n from 1 to infinity and for 0 < r < 1 = ( 1- r)^(-2).]