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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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?
Transcribed Image Text: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?
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