Patients arrive at the emergency room of a local hospital at an average rate of 6.2 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. b. C. d. What is the probability that the next patient will arrive in the emergency room within the next 4 minutes? What is the probability that the next patient will arrive in the emergency room between the next 10 and 15 minutes? What is the probability that the next patient will arrive in the emergency room after the next 14 minutes? What is the probability that the next patient will arrive in the emergency room in exactly 14 minutes? What is the standard deviation of the distribution?

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