6.44 Manufacturing and Product Development Classical vio- lin bows are made from different woods to accommodate musi- cians' preferences and demands. Some commonly used woods include snakewood, ironwood, hakia, and pernambuco. While the bows are carefully handcrafted, they vary slightly in weight. Suppose a bowmaker claims that the weight of his classical bows is normally distributed with mean 60 grams and standard deviation 3.2 grams.2 a. What is the probability that the weight of a randomly selected ironwood bow is between 58 and 62 grams? b. Good musicians can detect an unacceptable bow weight (i.e., a weight that differs from the mean by more than two standard deviations). What is the probability that a bow weight is unac- ceptable? c. Any manufactured bow that weighs more than 66 grams is reworked in order to decrease the weight. What is the probabil- ity that a randomly selected ironwood bow will need rework