document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073873>Question 1073873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distribution of grades in a large statistics course<BR>\n" );
document.write( "is as follows:<BR>\n" );
document.write( "Grade: A // B // C // D // F<BR>\n" );
document.write( "Probability: 0.2 // 0.3 // 0.3 // 0.1 // 0.1<BR>\n" );
document.write( "To calculate student grade point averages, grades are expressed in a numerical<BR>\n" );
document.write( "scale with A = 4, B = 3, and so on down to F = 0.<BR>\n" );
document.write( "(a) Find the expected value. This is the average grade in this course.<BR>\n" );
document.write( "- The expected value is 2.2<BR>\n" );
document.write( "(b) Explain how to simulate choosing students at random and recording their<BR>\n" );
document.write( "grades. Simulate 50 students and find the mean of their 50 grades. Compare<BR>\n" );
document.write( "this estimate of the expected value with the exact expected value from (a). (The<BR>\n" );
document.write( "law of large numbers says that the estimate will be very accurate if we simulate<BR>\n" );
document.write( "a very large number of students.)\r<BR>\n" );
document.write( "\n" );
document.write( "Need help with part b! Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688669 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can generate random numbers using EXCEL. <BR>\n" );
document.write( "You can use the function RANDBETWEEN and VLOOKUP to generate appropriate ranged random numbers. <BR>\n" );
document.write( "Look up \"creating discrete probability distributions with EXCEL\" on any search engine.<BR>\n" );
document.write( "There are even Youtube videos.<BR>\n" );
document.write( "Good luck! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );