Could you help me to solve part a and b? As for part a I got E(X^2)=n^2*p^2 and part b) E(W)=4*n*p+6*m*pi, Var(W)=16(np(1-p)+36(mpi(1-pi). Could you write what the correct answers are? Thank you!

1. Let X be a binomially distributed random variable with parameters n and p (n trials with success probability p). (a) What is E (X2) ? (b) Let X be defined as before (n trials with success probability p) and let Y be an independent binomial random variable based on m trials and a success probability of 7. Find E(W) and Var(W), where W = 4X + 6Y