document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191269>Question 1191269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.58 probability of guessing any one game correctly.\r<BR>\n" );
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document.write( "What is the probability Mr. Keller will pick all 32 of the first round games correctly?\r<BR>\n" );
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document.write( "What is the probability Mr. Keller will pick exactly 4 games correctly in the first round?\r<BR>\n" );
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document.write( "What is the probability Mr. Keller will pick exactly 22 games incorrectly in the first round?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823103 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=823103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. This is 0.58^32=2.7 x10^(-8)<BR>\n" );
document.write( "b. This is 32C4*0.58^4*0.42^28 by the binomial formula=1.15*10^(-7)<BR>\n" );
document.write( "c. This issue 32C10*0.58^10*0.42^22=0.0814<BR>\n" );
document.write( "The mean is 32*0.58=18.56 games correctly<BR>\n" );
document.write( "The variance is 18.56*0.42=7.80<BR>\n" );
document.write( "sd is sqrt(V)=2.80 </SPAN>\n" );
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