Consider three tosses of a fair coin. (a) Find the probability distribution function for X = number of tails. 0 1 2 3 (b) Find the probability distribution function for Y = the difference between the...

(a) Find the probability distribution function for
X
= number of tails.

	0	1	2	3

(b) Find the probability distribution function for
Y
= the difference between the number of heads and the number of tails.

	-3	-1	1	3

(c) Find the probability distribution function for
Z
= the sum of the number of heads and the number of tails.

	0	1	2	3