It is an exponential distributed random variable with an average of 45 minutes to repair a machine. A repair period, a) Find the probability of exceeding 2 hours. b) If 3 repairs are chosen randomly, find the probability that only 2 of them last between 1 hour and 3 hours.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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It is an exponential distributed random variable with an average of 45 minutes to repair a machine. A repair period,

a) Find the probability of exceeding 2 hours.

b) If 3 repairs are chosen randomly, find the probability that only 2 of them last between 1 hour and 3 hours.

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