A large industrial firm uses three 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 5% of the rooms at the Ramadan Inn, in 4% of the rooms at the Sheraton, and in 8% 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 Lodgo?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A large industrial firm uses three 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 5% of the rooms at the Ramadan Inn, in 4% of the rooms at the Sheraton, and in
8% 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?
Transcribed Image Text:A large industrial firm uses three 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 5% of the rooms at the Ramadan Inn, in 4% of the rooms at the Sheraton, and in 8% 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?
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