1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a goodrepresentation of the arrivals of goods at the plant(a) What is the probability that at most 1 good arrives during a 45 minutes period?(b) An inspector took a 45 minutes break. What is the probability that no good arrived during his break?(c) How long must a time period be so that the probability of no goods arriving during the time period is atmost pE (0, 1)? When does this time period exceed 1 hour, if at all it does?

Answered: 1. Arrivals of goods at a plant occur…

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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Assume that the number of automobiles arriving at a gasoline station is Poisson distributed and occur at an average rate of 50/hour. The station has only one gasoline pump. If all cars are assumed to require one minute to obtain fuel, what is the probability that a waiting line will occur at the pump?
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Answer detailly 8(i)
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