document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121536>Question 1121536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lacrosse team has been in its premier league for the last 47 seasons. During this time they have a mean number of wins of 17.3 and a standard deviation of 2.2 wins.<BR>\n" );
document.write( "[2]	a)	What is the probability of the lacrosse team getting 21 wins in the upcoming season?<BR>\n" );
document.write( "[3]	b)	What is the probability of the lacrosse team getting between 15 and 18 wins? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737477 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=737477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Between 15 and 18 wins is a z of (15-17.3)/2.2 and a z of (18-17.3)/2.2<BR>\n" );
document.write( "this is a z from -1.045  to 0.32. That probability is 0.4775\r<BR>\n" );
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document.write( "For 21 or more than 21 wins would be a z of  (21-17.3/2.2 or 1.68<BR>\n" );
document.write( "probability z is greater than that is 0.0237\r<BR>\n" );
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document.write( "One cannot use the Gaussian distribution to determine exactly 21 wins, since it is continuous and each point is infinitesimally small.  One would need a probability of winning each game, if it were independent (not likely) and use a binomial distribution. </SPAN>\n" );
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