document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084335>Question 1084335</A>: <I><SPAN STYLE=\"word-break: break-all;\">  1 in every 2000 automobiles produced has a particular manufacturing defect. Use a binomial distribution to find the probability of finding 4 cars with the defect in  in a random sample of 6500 cars. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698519 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=698519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> binomial distribution is:\r<BR>\n" );
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document.write( "p(x) = p^x * q^(n-x) * c(n,x)\r<BR>\n" );
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document.write( "p = 1/2000\r<BR>\n" );
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document.write( "this is the probability that any car picked at random from the population will be defective.\r<BR>\n" );
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document.write( "q = 1 minus p = 1999/2000\r<BR>\n" );
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document.write( "this is the probability that any car picked at random from the population will not be defective.\r<BR>\n" );
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document.write( "p(x) is the probability that exactly x cars will be defective.\r<BR>\n" );
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document.write( "n is the number of cars in the sample.\r<BR>\n" );
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document.write( "when x = 4 and n = 6500, the binomial distribution formula becomes:\r<BR>\n" );
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document.write( "when x = 4, (n-x) = (6500-4) = 6496.\r<BR>\n" );
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document.write( "the formula of p(x) = p^x * q^(n-x) * c(n,x) becomes:\r<BR>\n" );
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document.write( "p(4) = (1/2000)^4 * (1999/2000)^6496 * c(6500,4) = .1802934715\r<BR>\n" );
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document.write( "this has been confirmed to be correct through the use of the following binomial calculator.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://stattrek.com/online-calculator/binomial.aspx\" target = \"_blank\">http://stattrek.com/online-calculator/binomial.aspx</a>\r<BR>\n" );
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document.write( "here's a picture of my inputs and the outputs from the calculator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/061101.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "my inputs were in the first 3 boxes.\r<BR>\n" );
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document.write( "the calculator gave me the rest.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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