Assignment:
X and Y are independent identically distributed binary random variables. Each has P(+1) = 1/2 and P(-1) = 1/2.
Find T = XY and U = X + Y.
1. Create table giving the joint p.m.f of T and U.
2. Find E(T), E(U), and Cov(T,U).
3. Are T and U independent?
Provide complete and step by step solution for the question and show calculations and use formulas.