申論題

3. A manufacturer has a machine that, when operational at the beginning of a day, has a probability of 0.1 of breaking down sometime during the day. When this happens, the repair is done the next day and completed at the end of that day.

(b) Find the expected first passage time for all states. Use these results to identify the expected number of full days that the machine will remain operational before the next breakdown after a repair is completed. (10%)