document.write( "Question 924028: A large industrial firm uses three local motels
\n" ); document.write( "to provide overnight accommodations for its clients.
\n" ); document.write( "From past experience it is known that 20% of the
\n" ); document.write( "clients are assigned rooms at the Ramada Inn, 50% at
\n" ); document.write( "the Sheraton, and 30% at the Lakeview Motor Lodge.
\n" ); document.write( "If the plumbing is faulty in 5% of the rooms at the Ramada
\n" ); document.write( "Inn, in 4% of the rooms at the Sheraton, and in
\n" ); document.write( "8% of the rooms at the Lakeview Motor Lodge, what
\n" ); document.write( "is the probability that
\n" ); document.write( "(a) a client will be assigned a room with faulty
\n" ); document.write( "plumbing?
\n" ); document.write( "(b) a person with a room having faulty plumbing was
\n" ); document.write( "assigned accommodations at the Lakeview Motor
\n" ); document.write( "Lodge?
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Algebra.Com's Answer #560567 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
20% Ramada Inn (5% with faulty plumbing)
\n" ); document.write( "50% at the Sheraton (4% with faulty plumbing)
\n" ); document.write( "30% at the Lakeview Motor (8% with faulty plumbing)
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\n" ); document.write( "P(being assigned a room with faulty plumbing)
\n" ); document.write( "P = \".20%2A.05+%2B+.50%2A.04+%2B+.30%2A.08\" = .054
\n" ); document.write( "........
\n" ); document.write( "P(Lakeview | faulty plumbing)
\n" ); document.write( " P(A|B) = P(A and B)/P(B) = \".30%2A.08+%2F+.054\"
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