document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194836>Question 1194836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 4 will stay with the same company for more than five years is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827125 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "p = probability of success<BR>\n" );
document.write( "p = probability of a person staying with the same company for more than five years<BR>\n" );
document.write( "p = 0.08\r<BR>\n" );
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document.write( "n = sample size<BR>\n" );
document.write( "n = 11\r<BR>\n" );
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document.write( "Binomial Probability Formula<BR>\n" );
document.write( "P(x) = ( nCx ) * p^x * (1-p)^(n-x) <BR>\n" );
document.write( "P(4) = ( 11C4 ) * 0.08^4 * (1-0.08)^(11-4) <BR>\n" );
document.write( "P(4) = ( 330 ) * 0.08^4 * (1-0.08)^(11-4) <BR>\n" );
document.write( "P(4) = 0.0075403009396 approximately<BR>\n" );
document.write( "P(4) = <font color=red>0.0075</font>\r<BR>\n" );
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document.write( "The 11C4 refers to the nCr notation<BR>\n" );
document.write( "The scratch work is shown below<BR>\n" );
document.write( "n = 11, r = 4<BR>\n" );
document.write( "n C r = (n!)/(r!(n-r)!)<BR>\n" );
document.write( "11 C 4 = (11!)/(4!*(11-4)!)<BR>\n" );
document.write( "11 C 4 = (11!)/(4!*7!)<BR>\n" );
document.write( "11 C 4 = (11*10*9*8*7!)/(4!*7!)<BR>\n" );
document.write( "11 C 4 = (11*10*9*8)/(4!)<BR>\n" );
document.write( "11 C 4 = (11*10*9*8)/(4*3*2*1)<BR>\n" );
document.write( "11 C 4 = (7920)/(24)<BR>\n" );
document.write( "11 C 4 = 330\r<BR>\n" );
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document.write( "Answer: <font color=red>0.0075</font> (approximate)<BR>\n" );
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