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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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