document.write( "Question 1027303: Of all the people applying for a certain job, 80% are qualified and 20% are not. The personnel manager claims that she approves qualified people 75% of the time; she approves unqualified people 20% of the time. Find the probability that a person is qualified if he or she was approved by the manager.
\n" ); document.write( "I did a tree diagram and multiplied .80 Q x .75 = .60 . However I don't think this is right way to do it. \n" ); document.write( "

Algebra.Com's Answer #642761 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Look at the four possible outcomes,
\n" ); document.write( "Qualified, approved
\n" ); document.write( "Qualified, not approved
\n" ); document.write( "Not qualified, approved
\n" ); document.write( "Not qualified, not approved
\n" ); document.write( " $\"P%28QA%29=0.8%280.75%29=0.6\"$
\n" ); document.write( " $\"P%28QN%29=0.8%280.25%29=0.2\"$
\n" ); document.write( " $\"P%28NA%29=0.2%280.2%29=0.04\"$
\n" ); document.write( " $\"P%28NN%29=0.2%280.8%29=0.16\"$
\n" ); document.write( "Since these are the only four outcomes the probabilities must sum to 1. You can verify that this is the case.
\n" ); document.write( "Yes, $\"P%28QA%29=0.6\"$
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