Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 85 miles per hour and a standard deviation of 6.4 miles per hour.
(a) What is the probability that a train will average less than 69 miles per hour?
(b) What is the probability that a train will average more than 81 miles per hour?
(c) What is the probability that a train will average between 90 and 101 miles per hour?
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