document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050594>Question 1050594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials?\r<BR>\n" );
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document.write( "a) What is the answer for x and n?\r<BR>\n" );
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document.write( "b) What is the mean, variance, and standard deviation for this binomial experiment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666164 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials? <BR>\n" );
document.write( "Binomial Problem with n = 12 and p = 1/6 <BR>\n" );
document.write( "P(x = 6) = 12C6*(1/6)^6*(5/6)^6 = binompdf(12,1/6,6) = 0.0066<BR>\n" );
document.write( "What is the answer for x and n? <BR>\n" );
document.write( "b) What is the mean, variance, and standard deviation for this binomial experiment?<BR>\n" );
document.write( "mean = n*p = 12*(1/6) = 2<BR>\n" );
document.write( "variance = n*p*q = 2(5/6) = 5/3 <BR>\n" );
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document.write( "std = sqrt(n*p*q) = sqrt(5/3) = 1.2910<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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