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1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation 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 at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?

1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation 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 at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?

A First Course in Probability (10th Edition)
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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1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation 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 at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?
Transcribed Image Text:1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation 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 at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?
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