Consider a random variable X with support [0, ∞), pdf f, and CDF F. The function h defined as h(x) = f(x)/1 − F(x) for x > 0. The function h is called the failure rate or the hazard function of X. What is the failure rate if X is exponential with parameter λ?

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Consider a random variable X with support [0, ∞), pdf f, and CDF F. The function h defined
as
h(x) = f(x)/1 − F(x)
for x > 0. The function h is called the failure rate or the hazard function of X. What is the
failure rate if X is exponential with parameter λ?

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