document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933536>Question 933536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A financial magazine was asked to obtain a list of 10 randomly selected upper management<BR>\n" );
document.write( "personnel in Canada. If 15% of upper management are women\r<BR>\n" );
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document.write( "What is the probability that there are 6 men’s names on the list?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566874 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=566874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of being a woman is .15<BR>\n" );
document.write( "probability of being a man is .85\r<BR>\n" );
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document.write( "the binomial probability equation is p(x) = c(n,x) * p^x * q^(n-x)\r<BR>\n" );
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document.write( "n = 10<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "n-x = 4\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "p(6) = c(10,6) * .85^6 * .15^4 which becomes:\r<BR>\n" );
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document.write( "p(6) = 210 * .85^6 * .15^4 which becomes:\r<BR>\n" );
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document.write( "p(6) = .04 rounded to 2 decimal places.\r<BR>\n" );
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document.write( "c(n,x) is the combination formula of n! / (x! * (n-x)!)\r<BR>\n" );
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document.write( "when n = 10 and x = 6, the formula becomes:\r<BR>\n" );
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document.write( "c(10,6) = 10! / (6! * 4!) = (10*9*8*7*6!) / (6! * 4!)\r<BR>\n" );
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document.write( "the 6! in the numerator and the 6! in the denominator cancel out and you are left with:\r<BR>\n" );
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document.write( "c(10,6) = (10*9*8*7) / (4*3*2*1).\r<BR>\n" );
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document.write( "the 8 in the numerator and the 4*2 in the denominator cancel out.\r<BR>\n" );
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document.write( "the 9 in the numerator and the 3 in the denominator becomes 3 in the numerator.\r<BR>\n" );
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document.write( "you are left with:\r<BR>\n" );
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document.write( "c(10,6) = 10*3*7 which is equal to 210.\r<BR>\n" );
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document.write( "your solution is .04 rounded to 2 decimal places.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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