A. a client will be assigned a room with faulty plumbing?  B. a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge?  C. a person with a room having no faulty plumbing was assigned accommodations at the Lakeview Motor Lodge?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter2: Solving Linear Inequalities
Section: Chapter Questions
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Solve using Baye's Theorem. Show complete solution. Please don't solve if not Baye's Theorem.


A large industrial firm uses 3 local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 25% of the rooms at the Ramada Inn, in 35% of the rooms at the Sheraton, and in 40% of the rooms at the Lakeview Motor lodge, what is the probability that

A. a client will be assigned a room with faulty plumbing? 

B. a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? 

C. a person with a room having no faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? 

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