document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176098>Question 1176098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean and variance of a Binomial variable X with parameters n and p are 16 and 8. Find P(X1) and P(X>2).<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802431 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=802431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the mean is np=16<BR>\n" );
document.write( "the variance is np (1-p)=8<BR>\n" );
document.write( "so 16(1-p)=8<BR>\n" );
document.write( "1-p=1/2<BR>\n" );
document.write( "p=0.50<BR>\n" );
document.write( "n=32<BR>\n" );
document.write( "p=0.5<BR>\n" );
document.write( "mean 16<BR>\n" );
document.write( "variance 8<BR>\n" );
document.write( "probability x=1 is 32C)*0.5^1*0.5^31=7 x 10^(-9)<BR>\n" );
document.write( "probability  x>2 is 1- probability x=2 essentially, which is 1=32C2*0.5^32=1. </SPAN>\n" );
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