logistic_guy
Senior Member
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- Apr 17, 2024
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here is the question
For an electrical component with a failure rate of once every 5 hours, it is important to consider the time that it takes for 2 components to fail.
(a) Assuming that the gamma distribution applies, what is the mean time that it takes for 2 components to fail?
(b) What is the probability that 12 hours will elapse before 2 components fail?
my attemv
the PDF of gamma distribution f(x)=Γ(α)βαxα−1e−βx
the mean αβ
how to tell what's α and β from the question?
it's also confusing for (b)
do the probability P(X>12) or P(X<12)
it's confusing
For an electrical component with a failure rate of once every 5 hours, it is important to consider the time that it takes for 2 components to fail.
(a) Assuming that the gamma distribution applies, what is the mean time that it takes for 2 components to fail?
(b) What is the probability that 12 hours will elapse before 2 components fail?
my attemv
the PDF of gamma distribution f(x)=Γ(α)βαxα−1e−βx
the mean αβ
how to tell what's α and β from the question?
it's also confusing for (b)

do the probability P(X>12) or P(X<12)
it's confusing
