document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203227>Question 1203227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem!Thanks!\r<BR>\n" );
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document.write( "Given a binomial distribution in which the probability of success is 0.53 and the number of trials is 14, what is the probability for each of the following:\r<BR>\n" );
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document.write( "(Round your answers to 3 decimal places.)\r<BR>\n" );
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document.write( "Getting exactly 12 successes?\r<BR>\n" );
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document.write( "Getting more than 12 successes?\r<BR>\n" );
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document.write( "Getting less than or equal to 12 successes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838617 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=838617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(x) = p^x * q^(n-x)*c(n,x)\r<BR>\n" );
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document.write( "n = 14<BR>\n" );
document.write( "x = 0 to 14<BR>\n" );
document.write( "p = .53<BR>\n" );
document.write( "q = 1 minus p = .47\r<BR>\n" );
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document.write( "probability of getting exactly 12 successes is p(12) = .53^12 * .47^(14-12) * c(14,12) = 0.009875237.\r<BR>\n" );
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document.write( "probability of getting more than 12 successes is equal to p(13) + p(14) = 0.001713216 + 0.000137995 = .001851211.\r<BR>\n" );
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document.write( "probability of getting less than or equal to 12 successes is 1 minus the probability of getting more than 12 successes is equal to 1 minus p(13) minus p(14) = 1 minus 0.001713216 minus 0.000137995 = .998148789.\r<BR>\n" );
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document.write( "here's what it looks like in excel.\r<BR>\n" );
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document.write( "total probbility is equal to 1, as it should.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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