Express Courier Service has found that the delivery time for packages is normally distributed, with mean 13 hours and standard deviation 3 hours. a) For a package selected at random, what is the probability that it will be distributed in 18 hours or less? (Round answer to four decimal places) b) What should be the guaranteed delivery time on all packages in order to be 95% sure that the package will be delivered before this time? (Hint: Note that 5% of the packages will be delivered at a time beyond the guaranteed time period.) (Round your answer to one decimal place.)

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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Express Courier Service has found that the delivery time for packages is normally distributed, with mean 13 hours and standard deviation 3 hours.

a) For a package selected at random, what is the probability that it will be distributed in 18 hours or less? (Round answer to four decimal places)

b) What should be the guaranteed delivery time on all packages in order to be 95% sure that the package will be delivered before this time? (Hint: Note that 5% of the packages will be delivered at a time beyond the guaranteed time period.) (Round your answer to one decimal place.)

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