answer all questions with explanation

[12 points) An experiment consists of tossing a fair coin 3 times. The experiment is conducted 2 times, and the total number of heads is recorded for each experiment. Let X1 be the number of heads during the rst run of the experiment and X2 the number of heads during the second run of the experiment. Find the sampling distributions for the following statistics: (a) T = X1 + X2 (b) 7 = X1;X= (o) W = max{X1,X2}