7.6.27 Bolts produced by a machine are acceptable provided that their length
is in the range from 5.95 to 6.05 centimeters. Suppose that the lengths of
the bolts produced are normally distributed with mean 6 cm and standard
deviation .02. What is the probability that a bolt produced will be of
acceptable length?


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7.6.28 (modified) Suppose that IQ scores are normally distributed with
mu = 100 and sigma = 15. What percentage of the population are "geniuses"
(IQ > 140)?

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7.6.32 A mail order house uses an average of 300 mailing bags per day. The
number of bags needed per day is approximately normally distributed with
sigma = 50. How many bags must the company have on hand at the beginning of
the day to be 99% certain that all orders can be filled?