45 It can be shown that if events are occurring in time according to a Poisson distribution with mean λt, then the interarrival times between events have an 1 λ exponential distribution with mean Suppose that customers arrive at a checkout counter at the rate of two per minute. (a) What are the mean (in minutes) and variance of the waiting times between successive customer arrivals? min mean variance (b) If a clerk takes 2.7 minutes to serve the first customer arriving at the counter, what is the probability that at least one more customer will be waiting when the service to the first customer is completed? (Round your answer to four decimal places.)

45 It can be shown that if events are occurring in time according to a Poisson distribution with mean λt, then the interarrival times between events have an 1 λ exponential distribution with mean Suppose that customers arrive at a checkout counter at the rate of two per minute. (a) What are the mean (in minutes) and variance of the waiting times between successive customer arrivals? min mean variance (b) If a clerk takes 2.7 minutes to serve the first customer arriving at the counter, what is the probability that at least one more customer will be waiting when the service to the first customer is completed? (Round your answer to four decimal places.)

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.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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