Suppose that the life of an inexpensive wrist watch (how long it will run) has an exponential distribution with a mean life of 7 years. If X denotes the life of the wrist watch (time to failure), and the wrist watch has already been working for 2.6 years, then what is the conditional probability that it will continue working for another 9.6 years?

MATLAB: An Introduction with Applications
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**Problem Statement: Wrist Watch Lifespan**

Suppose that the life of an inexpensive wristwatch (how long it will run) has an exponential distribution with a mean life of 7 years. If \( X \) denotes the life of the wristwatch (time to failure), and the wristwatch has already been working for 2.6 years, then what is the conditional probability that it will continue working for another 9.6 years?
Transcribed Image Text:**Problem Statement: Wrist Watch Lifespan** Suppose that the life of an inexpensive wristwatch (how long it will run) has an exponential distribution with a mean life of 7 years. If \( X \) denotes the life of the wristwatch (time to failure), and the wristwatch has already been working for 2.6 years, then what is the conditional probability that it will continue working for another 9.6 years?
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Step 1: Mentioning given information

Suppose that the life of an inexpensive wrist watch (how long it will run) has an exponential distribution with a mean life of 7 years.

X denotes the life of the wrist watch (time to failure),

and the wrist watch has already been working for 2.6 years. 

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