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Please answer the problem below for all parts. Please show all work and write clearly. Thanks. (Apply...

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Statistics

Please answer the problem below for all parts. Please show allwork and write clearly. Thanks.

(Apply total probability and Bayes’ rules)

A large industrial firm uses threelocal motels to provide overnight accommodations for its clients.From past experience it is known that 22% of the clients areassigned rooms at the Ramada Inn, 50% at the Sheraton, and 28% atthe Lakeview Motor Lodge. If the plumbing is faulty in 5% of therooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in8% of the rooms at the Lakeview Motor Lodge, what is theprobability that:

(a) A client will be assigned a roomwith faulty plumbing?

(b) A person with a room having faultyplumbing was assigned accommodations at the Lakeview MotorLodge?

Answer & Explanation Solved by verified expert
3.6 Ratings (554 Votes)
Let R a client is assigned accommodation at Ramada Inn Given PR 022 S a client is assigned accommodation at Sheraton Given PS 050 L a client is assigned    See Answer
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