3.16. The number of hardware failures, X, and the number of software failures, Y , on any day in a small computer lab have the joint distribution P(x, y), where P(0, 0) = 0.6, P(0, 1) = 0.1, P(1, 0) = 0.1, P(1, 1) = 0.2. Based on this information, (a) Are X and Y (hardware and software failures) independent?

3.16. The number of hardware failures, X, and the number of software failures, Y , on any day in
a small computer lab have the joint distribution P(x, y), where P(0, 0) = 0.6, P(0, 1) = 0.1,
P(1, 0) = 0.1, P(1, 1) = 0.2. Based on this information,
(a) Are X and Y (hardware and software failures) independent?
(b) Compute E(X + Y ), i.e., the expected total number of failures during 1 day.