document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097610>Question 1097610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a factory it is known from past experience that the probability is 0.75 that a new worker<BR>\n" );
document.write( "who has attended the company training program will meet the production quota, and the<BR>\n" );
document.write( "corresponding probability for a new worker who has not attended the company training<BR>\n" );
document.write( "program is 0.50. If 60% of the new workers attend the training program,<BR>\n" );
document.write( "3.1 What is the probability that a new worker will meet the production quota? [3]<BR>\n" );
document.write( "3.2 What is the probability that a new worker, who meets the production quota, attended<BR>\n" );
document.write( "the company’s training program? [3] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712210 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=712210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> =======Attend=====Not===totals<BR>\n" );
document.write( "Meets----45--------20----65<BR>\n" );
document.write( "doesn't--15--------20----35<BR>\n" );
document.write( "totals---60--------40---100\r<BR>\n" );
document.write( "\n" );
document.write( "I used 100 workers, of whom 60 attended and of those 75% met production quota and 25% did not.  That is the first column.  The 2nd column does it with 50%, and the sums add to 100<BR>\n" );
document.write( "For 1, the probability of meeting is 0.65<BR>\n" );
document.write( "For 2, the worker who meets (65) attended (45) is 45/65=9/13=0.69 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );