Suppose that a coin is tossed three times and that the random variable W represents the number of heads minus the number of tails.

(a) List the elements of the sample space S for the three tosses of the coin, and to each sample point assign a value w of W.

(b) Find the probability distribution of W, assuming that the coin is fair.

(c) Find the probability distribution of W, assuming that the coin is biased so that a head is twice as likely to occur as a tail.