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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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.
Transcribed Image Text: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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