1. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault can on rare occasions cause a catastrophe at high speed. Assume that the distribution of the number of cars per year that experience the fault is a Poisson random variable with X = 5. (a) What is the probability that, at most, 3 cars per year will experience a catastro- phe? (b) What is the probability that more than 1 car per year will experience a catastro- phe?

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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1. An automobile manufacturer is concerned about a fault in the braking mechanism of
a particular model. The fault can on rare occasions cause a catastrophe at high speed.
Assume that the distribution of the number of cars per year that experience the fault
is a Poisson random variable with X = 5.
(a) What is the probability that, at most, 3 cars per year will experience a catastro-
phe?
(b) What is the probability that more than 1 car per year will experience a catastro-
phe?
Transcribed Image Text:1. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault can on rare occasions cause a catastrophe at high speed. Assume that the distribution of the number of cars per year that experience the fault is a Poisson random variable with X = 5. (a) What is the probability that, at most, 3 cars per year will experience a catastro- phe? (b) What is the probability that more than 1 car per year will experience a catastro- phe?
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