8. Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. a. List the elements in the sample space for the three tosses of the coin and to each sample point assign a value w of W. N SMG2013 Probability b. Find the probability distribution of the random variable W, assuming that the coin is biased so that a head is twice as likely to occur as a tail. c. Find the cumulative distribution function of W. Using this F(w), find P(W > 0) and P(-1EW