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7. The common fruit fly is the most studied organism in genetic research because it is small, is easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normal with mean 0.8 millimeter (mm) and standard deviation 0.1 mm. (a) (6 points) Find the probability that the flies have thorax length between 0.7 mm and 10 mm? (b) (6 points) What is the probability that a randomly selected fly has thorax length less than 1.0 mm, knowing that the fly has thorax length greater than 0.7 mm? Page 5 8. The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive. (a) (4 points) What is the probability that the duration of games for a team for the 2011 season is between 165 and 500 hours? (b) (4 points) What is the 70th percentile for the duration of games for a team for the 2011 season