A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.

A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.

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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