7. (Sec. 5.4) The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. (a) If a pack of 4 batteries is purchased, what is the probability that the average lifetime of the batteries in the package is at least 9 hours? (b) How many batteries must be purchased such that the probability that their average lifetime is at least 9.5 hours is .99?

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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7. (Sec. 5.4) The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour.

(a) If a pack of 4 batteries is purchased, what is the probability that the average lifetime of the batteries in the package is at least 9 hours?

(b) How many batteries must be purchased such that the probability that their average lifetime is at least 9.5 hours is .99?

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