The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution (a) What is the probability you will make it through security In exactly 36 minutes? (Round your answer to three decimal places) (b) What is the probability it will take less than 15 minutes to pass through security screening during a peak perlod? (Round your answer to three decimal placet) (c) What is the probability it will take more than 25 minutes to pass through security screening during a peak period? (Round your answer to three decimat places) (d) What is the probability it will take between 15 and 25 minutes to pass through security screening during a peak period? (Round your answer to three decimal places) (e) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 13 minutes from the time you clear security until you reach your gate, what is the probability you will miss your flight? (Round your answer to three decimal places