document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92276>Question 92276</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<BR>\n" );
document.write( "E1 and E2 are mutually exclusive.\r<BR>\n" );
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document.write( "P(E2|F) = ____________\r<BR>\n" );
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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 #67194 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=67194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(E1)=0.25, P(E2)=0.75, P(F|E1)=0.05, P(F|E2)=0.12<BR>\n" );
document.write( "E1 and E2 are mutually exclusive.\r<BR>\n" );
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document.write( "P(E2|F) = ____________\r<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|E1)+P(F|E2)]\r<BR>\n" );
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document.write( "=[0.12*0.75]/[0.05+0.12]\r<BR>\n" );
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document.write( "= 0.09/0.17\r<BR>\n" );
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document.write( "= 0.5294....\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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