document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106567>Question 1106567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.<BR>\n" );
document.write( "n=1515&#8203;, x=11&#8203;, p=0.65 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721561 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Binomial probability formula is <BR>\n" );
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document.write( "Probability (P) ( k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk is n! / (k! * (n-k)!)<BR>\n" );
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document.write( "for this problem n=1515, x=11, p=0.65, Note that x is k in the above formual<BR>\n" );
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document.write( "P ( 11 successes in 1515 trials) = 1515C11 * (0.65)^11 * (1-0.65)^(1515-11) < 0.000001<BR>\n" );
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