Professor John is designing a water flask and he needs to know the probability that the filtration system will fail during a water cleaning. Based on previous data, Professor John estimates that the probability of a filtration system failure during the filtration cleaning is 0.05. If the water flask is used for 365 days in a year, what is the probability that the filtration system will not fail during any cleaning in a year?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Professor John is designing a water flask and he needs to know the probability that the filtration system
will fail during a water cleaning. Based on previous data, Professor John estimates that the probability of
a filtration system failure during the filtration cleaning is 0.05.
If the water flask is used for 365 days in a year, what is the probability that the filtration system will not
fail during any cleaning in a year?
Transcribed Image Text:Professor John is designing a water flask and he needs to know the probability that the filtration system will fail during a water cleaning. Based on previous data, Professor John estimates that the probability of a filtration system failure during the filtration cleaning is 0.05. If the water flask is used for 365 days in a year, what is the probability that the filtration system will not fail during any cleaning in a year?
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