rs. a. What is the probability that the computer battery will last between 10 and 14 hours? b. Find out how many hours at least 12% of the computer batteries with the longest endurance. c. A company bought 10 of these computers. What is the pro

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A computer battery has a normal distribution with an average life span of 10 hours and a standard deviation of 3 hours.
a. What is the probability that the computer battery will last between 10 and 14 hours?
b. Find out how many hours at least 12% of the computer batteries with the longest endurance.
c. A company bought 10 of these computers. What is the probability that the battery life of at least 2 of the purchased computers is within the range specified in “a”?

Expert Solution
Part a

P(10<X<14)=P10-103<z<14-103=P0<z<1.33=P(z<1.33)-P(z<0)=0.9082-0.5000=0.4082

Therefore the probability that the computer battery will last between 10 and 14 hours is 0.4082

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