document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189105>Question 1189105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A test to detect cancer is not always reliable. It gives a positive result 95 % of the time if the person does have cancer, and it gives a positive result 3 % of the time that the person does not. The probability that a randomly selected person has cancer is 0.02. \r<BR>\n" );
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document.write( "a. Given that a test on a randomly selected person is positive, find the probability that he/she does have cancer? Ans: 0.393\r<BR>\n" );
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document.write( "b. Out of 5000 people on which this test is used, how many people with cancer would you expect to be correctly diagnosed? Ans: 95 people </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820349 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ===TP======TN======Total<BR>\n" );
document.write( "CA+190=====10=======200<BR>\n" );
document.write( "CA-294====9506======9800<BR>\n" );
document.write( "total 484===95216======10000\r<BR>\n" );
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document.write( "I picked 1000 at random, and the table can be filled out.<BR>\n" );
document.write( "So positive test (484),probability of cancer is 190/484=0.393<BR>\n" );
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document.write( "===TP======TN======Total<BR>\n" );
document.write( "CA+95=====5=======. 100<BR>\n" );
document.write( "CA-147====4753======4900<BR>\n" );
document.write( "total 242===4758======5000<BR>\n" );
document.write( "upper left corner shows 95 TP/Ca+ </SPAN>\n" );
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