document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150678>Question 1150678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> “Best Fitness” Company is going to hold a stretching class with 15 registered students. From the previous records of stretching classes, the average absence rate per student is 5%.<BR>\n" );
document.write( "(i) Calculate the probability that at most 13 students will attend the stretching class.<BR>\n" );
document.write( "(ii) Given that at least 12 students attend the stretching class, calculate the probability that there will be at most 1 student absent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772348 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=772348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0.05 probability absent and 0.95 probability present\r<BR>\n" );
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document.write( "probability at most is 13 is 1- probably (14 or 15) are there<BR>\n" );
document.write( "that second term is 15C14*0.95^14*0.05=0.3658 plus 15C15*0.95^15=0.4633<BR>\n" );
document.write( "They add to 0.8290 (rounding at end)<BR>\n" );
document.write( "probability overall of 13 or fewer is 1-0.8290=0.1710 ANSWER\r<BR>\n" );
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document.write( "probability of 12 attending is 15C12*0.95^12*0.05^3=0.0307<BR>\n" );
document.write( "probability of 13 attending is 0.1348\r<BR>\n" );
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document.write( "0.0307<BR>\n" );
document.write( "0.1348<BR>\n" );
document.write( "0.3658<BR>\n" );
document.write( "0.4633\r<BR>\n" );
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document.write( "Given that 12 attend, what is the probability it will be 14 or 15, is another way to phrase b.<BR>\n" );
document.write( "That would be their sum over the sum of p(13,14,15)<BR>\n" );
document.write( "0.8290/0.9638=0.8601 </SPAN>\n" );
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