document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620125>Question 620125</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 successes on a single trial n=6, x=4, p=0.55, q=0.45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390017 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x = random variable = number of successful trials = 4<BR>\n" );
document.write( "n = number of trials = 6 <BR>\n" );
document.write( "P = likelihood of success = 0.55<BR>\n" );
document.write( "Q = likelihood of failure = 0.45<BR>\n" );
document.write( "nCx = number of combinations of n objects taken x at a time<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Binomial Distribution<BR>\n" );
document.write( "b(x; n, P) = nCx * P^x * Q^(n - x)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b(4; 6, 0.55) = 6C4 * (0.55)^4 * (0.45)^2 = (15)(0.09150625)(0.2025) = 0.27795023 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );