ery better be charged on s on the frequency, dura use of the phones showe standard deviation of 2.2 ne the battery life betwee

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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22. Guarantee: Battery Life Many people consider their smartphone to be
essential! Communication, news, maps, Internet, entertainment, photos, and
just keeping current are all conveniently possible with a smart phone. However,
the battery better be charged or the phone is useless. Battery life, of course,
depends on the frequency, duration, and type of use. One study involving
heavy use of the phones showed the mean of the battery life to be 13.75 hours
with a standard deviation of 2.2 hours. Then the battery needs to be recharged.
Assume the battery life between charges is normally distributed
(a) Find the probability that with heavy use, the battery life exceeds 14 hours.
(b) Inverse Normal Distribution You are planning your recharging schedul
so that the probability your phone will die is no more than 5%. After how
many hours should you plan to recharge your phone?
Transcribed Image Text:22. Guarantee: Battery Life Many people consider their smartphone to be essential! Communication, news, maps, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life, of course, depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 13.75 hours with a standard deviation of 2.2 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed (a) Find the probability that with heavy use, the battery life exceeds 14 hours. (b) Inverse Normal Distribution You are planning your recharging schedul so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone?
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