document.write( "Question 356122: Suppose that 4% of all adults over 40 have diabetes. A certain physician correctly diagnoses 95% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3% of all adults over 40 without diabetes as having the
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\n" ); document.write( "8) Draw a tree diagram and label it with appropriate probabilities.
\n" ); document.write( "9) Find the probability that a randomly-selected adult over 40 is diagnosed as not having diabetes.
\n" ); document.write( "10) Find the probability that a randomly-selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes. \n" ); document.write( "

Algebra.Com's Answer #254221 by edjones(8007) $\"\"$ $\"About$

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Note: I rounded all calculations to 3 decimal places.
\n" ); document.write( ".95*.04=.038 of population correctly diagnosed as diabetic.
\n" ); document.write( ".03*.96=.029 of pop. incorrectly diagnosed as diabetic.
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\n" ); document.write( "1-.038-.029=.933 probability that a randomly-selected adult over 40 is diagnosed as not having diabetes by this physician.
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\n" ); document.write( ".002/(.931+.002)=.002/.933=.002 probability that a randomly-selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes.
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