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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning