A toy factory produces battery operated toy robots for toddlers. Previous research shows that the lifetimes of these robots are Exponentially distributed with mean 6 months on regular use. A retailer buys 12 of these robots to sell. What is the probability that exactly 5 of these robots will last at least 8 months?

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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0.015

0.075

0.595

0.119

A toy factory produces battery operated toy robots for toddlers. Previous research shows that the lifetimes of these robots are Exponentially distributed with mean 6
months on regular use. A retailer buys 12 of these robots to sell. What is the probability that exactly 5 of these robots will last at least 8 months?
Transcribed Image Text:A toy factory produces battery operated toy robots for toddlers. Previous research shows that the lifetimes of these robots are Exponentially distributed with mean 6 months on regular use. A retailer buys 12 of these robots to sell. What is the probability that exactly 5 of these robots will last at least 8 months?
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