45It 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 an1λexponential distribution with meanSuppose 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?minmeanvariance(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 whenthe service to the first customer is completed? (Round your answer to four decimal places.)

a. The mean of the interarrival times is (λ1=21)minutes.The variance of the interarrival times is…

Answered: 45 It can be shown that if events are…

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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Question 15
(a) A distribution consists of three components with total frequencies of 200, 250 and'300 having mean 25, 10 and 15 respectively. Find the mean of combined distribution. (b) In a series with 100 items, having simple mean of 40, later on it was discovered that two items of 45, 35 were wrongly taken as 35 and 25. Find the correct mean. (c) A man travelled by auto for 3 days. He covered 480 kilometres each day. He drove the first day 10 hours @ 48 kilometres per hour, the second day 12 hours @ 40 kilometres per hour and third day 15 hours @ 32 kilometres per hour. What was his average speed ?
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