Question: 2.6. Consider a computer system that fails on a given day with probability p and remains up with probability q = 1 - p. Suppose

2.6. Consider a computer system that fails on a given day with probability p and remains "up" with probability q = 1 - p. Suppose the repair time is a random variable N having the probability mass function p(k) =

/3(1 fork= 1,2,...,where0

01 P 6

and a = 1 - /3. Determine the long run probability that the computer is operating in terms of

a, /3, p, and q.

01 P 6

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