Simulate free throws. The professional basketball player Diana Taurasi made about 90% of her free throws in a recent season when she was named Most Valuable Player in the league. Use Table B or the Probability applet to simulate 100 free throws shot independently by a player who has probability 0.9 of making each shot.
(a) What percent of the 100 shots did she hit?
(b) Examine the sequence of hits and misses. How long was the longest run of shots made? Of shots missed? (Sequences of random outcomes often show runs longer than our intuition thinks likely.)