The amount of time that a watch will run without having to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities that such a watch will  (a) have to be reset in less than 24 days; (b) not have to be reset in at least 180 days.

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 41E
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The amount of time that a watch will run without having to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities that such a watch will 

(a) have to be reset in less than 24 days;

(b) not have to be reset in at least 180 days.

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