Engineers observe that about 90% of graphite samples fracture within 5 hours when subjected to a certain stress. (a) If the time to fracture is modeled with an exponential distribution, what would be a suitable value for the parameter λ? (b) Use the model to estimate the probability that a fracture occurs within 3 hours.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Engineers observe that about 90% of graphite samples
fracture within 5 hours when subjected to a certain stress.
(a) If the time to fracture is modeled with an exponential
distribution, what would be a suitable value for the
parameter λ?
(b) Use the model to estimate the probability that a
fracture occurs within 3 hours.
Transcribed Image Text:Engineers observe that about 90% of graphite samples fracture within 5 hours when subjected to a certain stress. (a) If the time to fracture is modeled with an exponential distribution, what would be a suitable value for the parameter λ? (b) Use the model to estimate the probability that a fracture occurs within 3 hours.
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