document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879650>Question 879650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car dealer has kept records of the customers who visited his showroom. 30% of the customers who visited his showroom were women. Furthermore, his records show that 24% of the women who visited his showroom ended up buying a car while only 14% of the men ended up buying a car. If, while away for a lunch break, a customer came to the showroom and talk to the assistant but did not buy a car, what is the probability that the customer was a man? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530950 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1-.14=.86 of men who come in don't buy a car.<BR>\n" );
document.write( "1-.24=.76 of women who come in don't buy a car.<BR>\n" );
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document.write( ".7*.86=.602 probability that a man came in and didn't buy a car.<BR>\n" );
document.write( ".3*.76=.228 probability that a woman came in and didn't buy a car.<BR>\n" );
document.write( ".602+.228=.83 Probability of someone coming in and not buying a car.<BR>\n" );
document.write( ".602/.83 = 301/415 =~ 72.5%  the probability that the customer was a man.<BR>\n" );
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document.write( "Ed<BR>\n" );
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