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?
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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