Iff (t) is the unconditional density of the time of failure of a system and h(t) is the hazard rate (or conditional failure rate or conditional density of T, given T > t) find f (1) in terms of h(t). Deduce that T follows a Rayléigh distribution, when h(t) = t.

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If f (t) is the unconditional density of the time of failure of a system and h(t) is the
hazard rate (or conditional failure rate or conditional density of T, given T > t)
find f(1) in terms of h(t). Deduce that T follows a Rayleigh distribution, when
h(t) = t.
Transcribed Image Text:If f (t) is the unconditional density of the time of failure of a system and h(t) is the hazard rate (or conditional failure rate or conditional density of T, given T > t) find f(1) in terms of h(t). Deduce that T follows a Rayleigh distribution, when h(t) = t.
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