GetFood (a food delivery company) wants to investigate the customers ordering behavior on its'mobile app on a weekday lunchtime. The server administrator collects a sample of 400 inter-arrival times (in seconds) of food ordering requests from the mobile app to its server duringlunchtime. The mean inter-arrival times is 0.1563 seconds. Use the Poisson distribution model as appropriate to answer questions d) and e)d) Calculate the probability that three food order requests will arrive to the server in a particularinterval of one second.e) Calculate the probability that three or more food order requests will arrive to the server in aparticular interval of one second.f) Using the t-statistic, construct a 95% confidence interval for the mean inter-arrival time offood order request to the server

Poisson distribution : The Poisson distribution is a discrete law that is widely used to…

Answered: GetFood (a food delivery company) wants…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 240 Fundash runners and 200 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 240 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.2 minutes. The 200 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.4 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, μ1 , of Fundash is not equal to the mean completion time, μ2 , of Coolsprint?…
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