Failures of a computer system in the interval

Reference no: EM131130975

Let N(t) be the number of failures of a computer system in the interval [0,t]. We suppose that {N(t),t ≥ 0} is a Poisson process with rate λ = 1 per week.

(a) Calculate the probability that

(i) the system operates without failure during two consecutive weeks,

(ii) the system will have exactly two failures during a given week, knowing that it operated without failure during the previous two weeks,

(iii) less than two weeks elapse before the third failure occurs.

(b) Let

Reference no: EM131130975

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