document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578138>Question 578138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an experiment to study the relationship of hypertention and smoking habits, the following data are collected for 180 individuals:\r<BR>\n" );
document.write( "\n" );
document.write( "                               Nonsmokers        Moderate smokers      Heavysmkr<BR>\n" );
document.write( "Hypertension                       21                     36              30                  <BR>\n" );
document.write( "Nonhypertention                    48                     26              19               <BR>\n" );
document.write( "If one of these individuals is selected at random, find the probability that the person is<BR>\n" );
document.write( "a)	experiencing hypertention, given that the person is a heavy smoker<BR>\n" );
document.write( "b)	a nonsmoker, given that the person is experiencing  no hypertention<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754325 by </B><A HREF=/tutors/aboutme.mpl?userid=skippofemmy><B>skippofemmy(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=skippofemmy><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Experiencing hypertension given that the person is a heavy smoker.<BR>\n" );
document.write( "We already know that the person is a heavy smoker. We simply need to know if she/he is experiencing hypertension.<BR>\n" );
document.write( "Number of heavy smokers having hypertension is 30<BR>\n" );
document.write( "Number of all heavy smokers (including hypertension free) is 49<BR>\n" );
document.write( "Answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Heavy+_smokers_+with_+hyper%29%2F%28All_+heavy_+smokers%29 ALIGN=MIDDLE  ALT=\"%28Heavy+_smokers_+with_+hyper%29%2F%28All_+heavy_+smokers%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%29%2F%2849%29 ALIGN=MIDDLE  ALT=\"%2830%29%2F%2849%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b) A non smoker given that the person is experiencing no hypertension.<BR>\n" );
document.write( "We already know that the person does not have hypertension. We only want to be certain if he/she is a non smoker.<BR>\n" );
document.write( "Number of Non smokers without hypertension is 48<BR>\n" );
document.write( "Number of people who do not have hypertension (whether they smoke or not)=93<BR>\n" );
document.write( "Answer = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Non_smokers_with_no_hypertension%29%2F%28everyone+_with_+no+_hypertension%29 ALIGN=MIDDLE  ALT=\"%28Non_smokers_with_no_hypertension%29%2F%28everyone+_with_+no+_hypertension%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848%29%2F%2893%29 ALIGN=MIDDLE  ALT=\"%2848%29%2F%2893%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );