document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065962>Question 1065962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer for question 133479? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681141 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=681141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe your answer can be found here:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.133479.html\" target = \"_blank\">https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.133479.html</a>\r<BR>\n" );
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document.write( "based on this, the solution would be p(x=3) = .193536 and p(x>4) = p(x=5) + p(x=6) + p(x=7) = .4199...\r<BR>\n" );
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document.write( "the formula to use is p(x) = c(n,x) * p^x * q^(n-x)\r<BR>\n" );
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document.write( "x is the number of occurrences you are looking for.<BR>\n" );
document.write( "p is the probability of success.<BR>\n" );
document.write( "q is the probability of failure which is equal to 1 - p(x).\r<BR>\n" );
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document.write( "c(n,x) is the number of possible ways you can get x things fr0om n things when order is not important.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "n = 7<BR>\n" );
document.write( "p = .6<BR>\n" );
document.write( "q = .4\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "p(x=3) is equal to c(7,3) * .6^3 * .4^4\r<BR>\n" );
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document.write( "c(7,3) = 35\r<BR>\n" );
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document.write( "formula becomes p(x=3) = 35 * .6^3 * .4^4\r<BR>\n" );
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document.write( "solve for p(x=3) to get p(x=3) = .193536\r<BR>\n" );
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document.write( "the formula for c(n,x) is n! / (x! * (n-x)!)\r<BR>\n" );
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document.write( "when n = 7 and x = 3, this formula becomes c(7,3) = 7! / (3! * 4!).<BR>\n" );
document.write( "this becomes c(7,3) = (7*6*5*4*3*2*1) / (3*2*1*4*3*2*1).<BR>\n" );
document.write( "factor out 4*3*2*1 and this becomes c(7,3) = (7*6*5)/(3*2*1)<BR>\n" );
document.write( "solve to get c(7,3) = 7*5 = 35\r<BR>\n" );
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document.write( "you can do the same for p(5) and p(6) and p(7) and you will get p(x>4) is equal to the sum of those probabilities.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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