document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886154>Question 886154</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Recently missed a week of  my statistics class,. Looking for help on the proper way to figure out a problem similar to this one:binomial distribution: consider the following data to be normally distributed. 80% of the people surveyed indicated they like the color blue. Find the probability that <BR>\n" );
document.write( "8 out of 11 randomly surveyed people will like the color blue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535733 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for binomial probability is:<BR>\n" );
document.write( "p(x) = nCx * p^x * q^(n-x)<BR>\n" );
document.write( "in your problem:<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "n =  11<BR>\n" );
document.write( "nCx = 11C8<BR>\n" );
document.write( "p^x = .8^8<BR>\n" );
document.write( "q^(n-x) = .2^3<BR>\n" );
document.write( "your formula becomes:<BR>\n" );
document.write( "p(8) = 11C8 * .8^8 * .2^3<BR>\n" );
document.write( "that probability becomes:<BR>\n" );
document.write( "p(8) = 165 * .8^8 * .2^3 which is equal to .2214592512\r<BR>\n" );
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document.write( "nCx is the combination of n things taken x at a time.<BR>\n" );
document.write( "the formula for nCx is:<BR>\n" );
document.write( "nCx = n! / ((n-x)! * x!)\r<BR>\n" );
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document.write( "when n = 11, there are 12 distinct sets of probabilities.<BR>\n" );
document.write( "they range from p(0) to p(11).\r<BR>\n" );
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document.write( "the sum of all probabilities must be equal to 1 or you did something wrong.\r<BR>\n" );
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document.write( "here's a list of all the probabilities for this problem.<BR>\n" );
document.write( "as you can see, the total sum of all probabilities is equal to 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/jul0801.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "here's a link that explains binomial probabilities.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/Regents/math/algtrig/ATS7/BLesson.htm\" target = \"_blank\">http://www.regentsprep.org/Regents/math/algtrig/ATS7/BLesson.htm</a> </SPAN>\n" );
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