document.write( "Question 189206: 60% of the patients at a clinic are children. 10% of the children and 1/4 of the adults use alternative medicine. A patient is selected at random. 1) what is the probability the slected patient uses alternative medicine? 2) what is the probability that the selected patient is a child that uses alternative medicine? \n" ); document.write( "

Algebra.Com's Answer #141979 by stanbon(75887) $\"\"$ $\"About$

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60% of the patients at a clinic are children. 10% of the children and 1/4 of the adults use alternative medicine. A patient is selected at random. 1) what is the probability the slected patient uses alternative medicine? 2) what is the probability that the selected patient is a child that uses alternative medicine?
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\n" ); document.write( "P(C) = 0.60 ; P(C') = 0.40 ;
\n" ); document.write( "P(A|C) = 0.10 ; P(A'|C) = 0.9;
\n" ); document.write( "P(A|C') = 0.25 ; P(A'|C') = 0.75
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\n" ); document.write( "Question # 1:
\n" ); document.write( "P(A) = P(A and C) + P(A and C')
\n" ); document.write( "= P(A|C)P(C) + P(A|C')P(C')
\n" ); document.write( "Substitute from above to get answer = 0.1006
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\n" ); document.write( "Question # 2
\n" ); document.write( "P(C and A) = P(A|C)P(C) = 0.10*0.60 = 0.0006
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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