A medical clinic opens at 9:00 am and then patients arrive according to a Poisson process with rate.083 patients per minute.(a) What is the probability that five patients arrive by 10:00 am?(b) Suppose we are still waiting for the first patient at 9:15 am, what is the probability that nopatients have arrived by 9:30?(c) What is expected time and variance of the 10th patient to arrive?

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Answered: A medical clinic opens at 9:00 am and…

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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Each week a grocer purchases 60 gallons of milk at the beginning of the week. At the endof the week any unused milk must be thrown away. The demand for milk is normally distributed witha mean of 51 gallons per week and a standard deviation of 9 gallons per week. (a) What is the probability that the store runs out of milk at some point during the week? (b) What is the probability that the grocer does not run out of milk in any of the next five weeks?
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In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c) Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours

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