Find the probability that a component will fail during a 12-hour shift.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 42E
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Question
a) A machine in a manufacturing process continuously uses one of the components until it
fails. The time in hour for a component to fail follows an exponential distribution with a
rate of 0.025.
UTM
i.
Find the probability that a component will fail during a 12-hour shift.
UTM
5) UTM
Find the probability that less than three components fail during a 24-hour shift.
TM
™M OUTH²
ii.
UTM "SUTM
ITM
Transcribed Image Text:a) A machine in a manufacturing process continuously uses one of the components until it fails. The time in hour for a component to fail follows an exponential distribution with a rate of 0.025. UTM i. Find the probability that a component will fail during a 12-hour shift. UTM 5) UTM Find the probability that less than three components fail during a 24-hour shift. TM ™M OUTH² ii. UTM "SUTM ITM
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