document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083271>Question 1083271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> GEmployees have a choice of going out to lunch or eating in the cafeteria. There is a 40% chance that an employee eats lunch in the cafeteria. The probability that a worker arrives back from lunch on time is .44. The probability that an employee arrives back from lunch on time given that he/she ate in the cafeteria is .6. \r<BR>\n" );
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document.write( "What is the probability an employee eats in the cafeteria and arrives late from lunch?<BR>\n" );
document.write( "What is the probability an employee does not eat in the cafeteria and does not arrive late from lunch?<BR>\n" );
document.write( "What is the probability an employee does not eat in the cafeteria given that he/she arrives on time?<BR>\n" );
document.write( "What is the probability an employee eats in the cafeteria or arrives late from lunch?<BR>\n" );
document.write( "What is the probability an employee does not eat in the cafeteria given that he/she does not arrive on time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697279 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=697279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tree diagram<BR>\n" );
document.write( ".4C=======================.6 NO<BR>\n" );
document.write( ".6 on time (0.24)=======<BR>\n" );
document.write( ".4 late (0.16)==========<BR>\n" );
document.write( "This is how I understand the problem.  Then there is an overall probability that a worker arrives back on time is 0.44, which means a 0.20 probability that the worker who eats out arrives on time.  That means that they have a 1/3 probability of returning on time and a 2/3 probability of being late.\r<BR>\n" );
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document.write( "With these assumptions.<BR>\n" );
document.write( "a. Eats in cafeteria and arrives late is 0.16, 0.4*0.4<BR>\n" );
document.write( "b. Does not eat there and is not late 0.20<BR>\n" );
document.write( "c.  Given that they arrive on time (44%) probability they didn't eat in cafeteria is 20/44=0.45<BR>\n" );
document.write( "d. Eats in cafeteria=0.4+arrives late 0.56- both -0.16=0.80<BR>\n" );
document.write( "e. Given that did not arrive on time (0.56) probability they did not eat in the cafeteria (.40) so that is 0.71. </SPAN>\n" );
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