A new battery supposedly with a charge of 1.60 volts actually has a voltage with a uniform distribution between 1.45 and 1.65 volts. (a) What is the cumulative distribution function of the voltage? (b) If a box contains 35 batteries, what is the expectation and variance of the number of batteries in the box with a voltage less than 1.60 volts?

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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A new battery supposedly with a charge of 1.60 volts actually has a voltage with a uniform distribution
between 1.45 and 1.65 volts. (a) What is the cumulative distribution function of the voltage? (b) If a
box contains 35 batteries, what is the expectation and variance of the number of batteries in the box
with a voltage less than 1.60 volts?
Transcribed Image Text:A new battery supposedly with a charge of 1.60 volts actually has a voltage with a uniform distribution between 1.45 and 1.65 volts. (a) What is the cumulative distribution function of the voltage? (b) If a box contains 35 batteries, what is the expectation and variance of the number of batteries in the box with a voltage less than 1.60 volts?
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