carbon monoxide detector in the wheelock household activates once every 200 days on average. assume this activation follows the exponential distribution. what is the probability that: a. there will be an alarm within the next 60 days? (round your answer to 4 decimal places.) b. at least 400 days will pass before the next alarm? (round your answer to 4 decimal places.) c. it will be between 150 and 250 days until the next warning? (round your answer to 4 decimal places.) d. find the median time until the next activation. (round your answer to 2 decimal places.)