Kurt and Jesse are basketball players. Kurt bets Jesse that he can beat Jesse in a set of five free throws. Suppose that Kurt on average sinks 80% of his baskets, whereas Jesse sinks only 70%. (a) Assuming that Kurt and Jesse's success satisfy the assumpitions of Benoulli trials, draw proba- bility histograms for the number of successes for Kurt and Jesse, respectively, in five throws. (b) Suppose that Jesse goes first and gets three baskets. Assuming that Kurt and Jesse's tosses are independent, what is the conditional probability that Kurt will beat him? (c) What is the joint probability that Jesse gets three baskets and Kurt beats him? (d) Suppose instead that Jesse gets four baskets. What is now the conditional probability that Kurt will win? (e) Find the unconditional probability (before either has played) that Kurt will win. (Hint: Follow the same argument as above for all of Jesse's possible results, and add up the joint probabilities.)