11. The number of customers arriving per hour at a certain automobile service facility isassumed to follow a Poisson distribution with λ = 7.(a) Compute the probability that more than 10 customers will arrive in a 3-hour period.(b) What is the mean number of arrivals during a 4-hour period?

Givenλ=7 customers will arrive per hour

Answered: The number of customers arriving per…

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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Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter u = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"t). (Round your answer to three decimal places.) (a) What is the probability that the number of drivers will be at most 10? (b) What is the probability that the number of drivers will exceed 27? 0.052 (c) What is the probability that the number of drivers will be between 10 and 27, inclusive? What is the probability that the number of drivers will be strictly between 10 and 27? (d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value? Meyar You may need to use the appropriate table in the Appendix of Tables to answer this question.
please help me solve both parts a and b. please do not round your answers. if you solve correctly i will be glad to rate you. thank you so much for your help.
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The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with λ = 7. (a) Compute the probability that more than 10 customers will arrive in a 3-hour period. (b) What is the mean number of arrivals during a 4-hour period?