(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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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? 

 

Round off the final answer to five decimal places.

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