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

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= 0.17

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