A large industrial firm uses three local motels to provide overnight accommodati

Question

A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past 1 of 2 experience it is known that 21% of the clients are assigned rooms at the Ramada Inn, 49% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 4% of the rooms at the Ramada Inn, in 3.5% of the rooms at the Sheraton, and in 7.5% 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?

Explanation / Answer

a)

That' .21*.04+.49*.035+.3*.075= .048

So out of lets say 100 rooms, 4.8 are faulty.

b)

Now the base ( no. of fauly plumbing rooms) is 4.8

P( he' assinged Lakeview) = ?

=.075*.3/ 4.8

=.00469

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