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 Ra-

mada 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?