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Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes? b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes? c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes?

Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes? b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes? c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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Patients arrive at the emergency room of a local hospital at an average rate of

6.6

per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e.

Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes? b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes? c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes? d. What is the probability that the next patient will arrive in the emergency room in exactly 14 minutes? e. What is the standard deviation of the distribution?
Transcribed Image Text:Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes? b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes? c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes? d. What is the probability that the next patient will arrive in the emergency room in exactly 14 minutes? e. What is the standard deviation of the distribution?
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