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The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 20 days. Find the probability that the time between two unplanned shutdowns is a. less than 14 days. b. more than 20 days. c. less than 7 days. a.The probability that the time between two unplanned shutdowns is less than 14 days is (Round to four decimal places as needed.) b. The probability that the time between two unplanned shutdowns is more than 20 days is (Round to four decimal places as needed.) C.The probability that the time between two unplanned shutdowns is less than 7 days is (Round to four decimal places as needed.)