document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186052>Question 1186052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.\r<BR>\n" );
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document.write( "P(X≥9), n=10, p=0.8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816929 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=816929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> binomial distribution formula is:\r<BR>\n" );
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document.write( "p(x) = p^x * q^(n-x) * c(n,x)\r<BR>\n" );
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document.write( "q = 1 - p\r<BR>\n" );
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document.write( "c(n,x) = n! / (x! * (n-x)!)\r<BR>\n" );
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document.write( "n = 10 and p = .8<BR>\n" );
document.write( "q = 1 - .8 = .2\r<BR>\n" );
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document.write( "p(9) = .8^9 * .2^1 * 10 = .268435456.<BR>\n" );
document.write( "p(10) = .8^10 * .1^0 * 1 = .107374182\r<BR>\n" );
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document.write( "the full set of probabilities are shown below.\r<BR>\n" );
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document.write( "the sum of all probabilities is equal to 1, as it should be.<BR>\n" );
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