When a coin is fairly tossed 3 times, let = number of heads on the first two coins Y = number of heads on the last coin Z = total number of heads of dots), and its verify that (5-29)
(a) Are X and Y independent? What is their covariance?
(b) Fbr each of X, Y, and Z, find the distribution, mean, and variance.
(c) Verify that (5-29) and (5-32) hold true.