Recall that the exponential probability density function is defined as1f(x) = — - e-2/A.еSuppose that the lifetime in hours of a certain lightbulb is exponential distributed with λ = 3000. Find theprobability that a given lightbulb will last more than 7300 hours.P(X> 7300)

Answered: Image /qna-images/answer/fcf1e794-b97c-4c06-8d1a-af6cb26b3521.jpg

Answered: Recall that the exponential probability…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 25E

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Recall that the exponential probability density function is defined as 1 f(x) = -—-e-²/^. е Suppose that the lifetime in hours of a certain lightbulb is exponential distributed with λ = 3000. Find the probability that a given lightbulb will last more than 7300 hours. P(X > 7300)