document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86397>Question 86397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P(E1)=0.25, P(E2)= 0.75, P(F|E1)=0.05, p(F|E2)=0.12\r<BR>\n" );
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document.write( "P(E2|F)=\r<BR>\n" );
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document.write( "A. 0.188<BR>\n" );
document.write( "B. 0.878<BR>\n" );
document.write( "C. 0.060<BR>\n" );
document.write( "D. 0.370 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62510 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=62510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(E1)=0.25<BR>\n" );
document.write( "P(E2)= 0.75<BR>\n" );
document.write( "P(F|E1)=0.05<BR>\n" );
document.write( "p(F|E2)=0.12\r<BR>\n" );
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document.write( "Find P(E2|F)=<BR>\n" );
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document.write( "P(E2|F) = [P(E2 and F)]/P(F)<BR>\n" );
document.write( "=[P(F|E2)*P(E2)]/P(F)<BR>\n" );
document.write( "You know P(F|E2) and you know P(E2)<BR>\n" );
document.write( "Need to find P(F)<BR>\n" );
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document.write( "P(F) = P(F and E1) + P(F and E2)<BR>\n" );
document.write( "= P(F|E1)*P(E1) + P(F|E2)*P(E2)<BR>\n" );
document.write( "You know all of these.<BR>\n" );
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document.write( "Substituting you get:<BR>\n" );
document.write( "P(E2|F) = (0.12*0.75)/[0.05*0.25+0.12*0.75]<BR>\n" );
document.write( "= 0.09/0.1025<BR>\n" );
document.write( "= 0.878<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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