Question: 4.2.6 Consider a computer system that fails on a given day with probability p and remains up with probability q D 1????p. Suppose the repair

4.2.6 Consider a computer system that fails on a given day with probability p and remains “up” with probability q D 1????p. Suppose the repair time is a random variable N having the probability mass function p.k/ D .1????/k????1 for k D 1;2; : : : ; where 0

0 1 0a 1p 9

and D 1????. Determine the long run probability that the computer is operating in terms of ;;p, and q.

0 1 0a 1p 9

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