The failure time (T) of an electronic circuit board follows exponentially distribution with failure rate λ = 10−4/h. What is the probability that (i) it will fail before 1000 h? (ii) it will survive at least 10,000 h ? (iii)Determine the mean time to failure.

The failure time (T) of an electronic circuit board follows exponentially distribution with failure rate λ = 10−4/h. What is the probability that (i) it will fail before 1000 h? (ii) it will survive at least 10,000 h ? (iii)Determine the mean time to failure.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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Question

The failure time (T) of an electronic circuit board follows exponentially distribution

with failure rate λ = 10⁻⁴/h. What is the probability that

(i) it will fail before 1000 h?

(ii) it will survive at least 10,000 h ?

(iii)Determine the mean time to failure.

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