43. A game of bowling consists of 10 "frames" in which the bowler gets to roll the ball twice. The outcome of a frame may be a strike (all ten pins on the first try), a spare (all ten pins knocked down in two tries), or an "open frame." Bowler Bob gets a strike with probability 0.3, a spare with probability 0.6, and an open frame with probability 0.1. His recent game featured 2 strikes, 5 spares and 3 open frames. Find the probability of this outcome.

46. Compare the Poisson approximation with the exact binomial probabilities when (a) n = 10, p = 0.1, (b) n = 20, p = 0.05, (c) n = 40, p = 0.025.

47. An NC State player hits 3 point shots with probability 1/6. In a game against UNC he attempted 12 and made 2. (a) What is the exact Binomial probability of this event? (b) What is the Poisson approximation?

48. Suppose that the probability of a defect in a foot of magnetic tape is 0.002. Use the

Poisson approximation to compute the probability that a 1500 foot roll will have no defects.