Answered: After testing their AAA batteries,…

After testing their AAA batteries, Duracell found that the lifetime of the batteries are approximated 100 by the cumulative distribution function P(t) =1- over the interval 0

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...

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Question

Please explain well

After testing their AAA batteries, Duracell found that the lifetime of the batteries are approximated
100
by the cumulative distribution function P(t) =1-
over the interval 0<t<∞, where t is
100 +t?
time measured in hours.
i) First verify that P(t) is a valid c.d.f.
ii) What percentage of batteries last between 15 and 30 hours?
iii) What percentage of batteries last less than 20 hours? More than 20 hours?
iv) Find the median lifetime T.

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