Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 86 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 72 miles per hour? (b) What is the probability that a train will average more than 80 miles per hour? (c) What is the probability that a train will average between 91 and 100 miles per hour?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 86 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 72 miles per hour?
(b) What is the probability that a train will average more than 80 miles per hour?
(c) What is the probability that a train will average between 91 and 100 miles per hour?

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