A computer is inspected at the end of every hour. If the computer is found to be up, the probability of remaining up the next hour is .

A computer is inspected at the end of every hour. If the computer is found to be up, the probability of remaining up the next hour is .9. If it is down, the computer is repaired, which may require more than 1 hour whenever the computer is down (regardless of how long it has been down), the probability of its still being down 1 hour  later is .35. Let the computer states "down" and "up" be represented by 0 and 1 respectively.

If it costs k dollars for each hour the computer is down. Find the expected cost/hr. of down time. What is your answer if k = $150.