I need to solve the following problem for a school assignment.(adsbygoogle = window.adsbygoogle || []).push({});

Let λ(t) denote the failuer rate of a system at time 't'. The failure rate is simple the number of failures in unit time. For example, if the unit time is one day, then λ is the average of failures per day. Let μ(t) denote the total number of failures from the first release (time t=0) until the current time, 't'. Then we have

(1) λ= dμ/dt

(2) μ = ∫λ(T) where the limits of integration are T=0 (lower) and T=t (upper)

Two models are used for estimating λ and μ. In the forumlae below, λ0 is the failure rate at time t=0, and α and β are constants

λ=λ0(1-μ/α)

λ=λ0e^- β μ

Use (1) or (2) to find λ and μ as functions of time for each model.

.....I just need some direction. Thanks!

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# Failure rate of a system at time 't'

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