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Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are...

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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