document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040583>Question 1040583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Studies show that, if she lives to be 90, about 1 woman in 7 (approximately 14.3%) will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 2% of the time. Also suppose that in the general population of women, the test for breast cancer is negative about 85% of the time. Let B = woman develops breast cancer and let N = tests negative. Suppose one woman is selected at random.<BR>\n" );
document.write( "a.	What is the probability that the woman develops breast cancer? What is the probability that woman tests negative?<BR>\n" );
document.write( "b.	Given that the woman has breast cancer, what is the probability that she tests negative?<BR>\n" );
document.write( "c.	Given that the women tests negative, what is the probability that she has cancer?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655430 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=655430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Table with 7000 women.<BR>\n" );
document.write( "=======Will develop=======will not develop======total<BR>\n" );
document.write( "Test++=====980==============70==========1050<BR>\n" );
document.write( "Test--======20=============5930==========5950<BR>\n" );
document.write( "Total--------1000-----------------6000-------------7000<BR>\n" );
document.write( "The probability she develops breast cancer is 14.3%<BR>\n" );
document.write( "The probability that a random woman tests negative is 85%<BR>\n" );
document.write( "Given she has cancer (1000), probability she tests negative is 2%\r<BR>\n" );
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document.write( "Given that she tests negative (5950 women), the probability that she has cancer is 20/5950 or 0.33% </SPAN>\n" );
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