document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183264>Question 1183264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand the formulas to answer this question. Can you help? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.10. (For each answer, enter a number. Round your answers to three decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813487 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=813487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the binomial formula is:<BR>\n" );
document.write( "p(x) = p^x * q^(n-x) * c(n,x)<BR>\n" );
document.write( "p is the probabillity of success.<BR>\n" );
document.write( "q is the probability of failure = 1 - p.<BR>\n" );
document.write( "n is the number of trials<BR>\n" );
document.write( "x is the number of successes.<BR>\n" );
document.write( "(n-x) is the number of failures.<BR>\n" );
document.write( "c(n,x) is the number of possible combinations of sets of x eleents taken from a set of n elements.<BR>\n" );
document.write( "the formula for c(n,x) is n! / (x! * (n-x)!)<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "c(7,3) = 7! / (3! * 4!) = (7*6*5*4*3*2*1) / ((3*2*1)*(4*3*2*1)) = (7*6*5) / (3*2*1) = (7*5) = 35.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the following spreadsheet shows all the calculations for x from 0 to 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/072502.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the sum of all probabilities must be equal to 1.<BR>\n" );
document.write( "otherwise, you did something wrong.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );