document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899622>Question 899622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If np &#8805; 5 and nq &#8805; 5, estimate P(more than 9) with n =14 and p=0.7 by using the normal distribution as an approximation to the binomial distribution; if np< 5  or nq<5, then state the normal approximation is not suitable.<BR>\n" );
document.write( "P (more than 9) =<BR>\n" );
document.write( "Round to four decimal places as needed<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545525 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=545525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = 14<BR>\n" );
document.write( "p = 0.7\r<BR>\n" );
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document.write( "np = 14*0.7 = 9.8\r<BR>\n" );
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document.write( "So np = 9.8 and np > 5\r<BR>\n" );
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document.write( "n = 14<BR>\n" );
document.write( "q = 1-p = 1-0.7 = 0.3<BR>\n" );
document.write( "q = 0.3\r<BR>\n" );
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document.write( "nq = 14*0.3 = 4.2<BR>\n" );
document.write( "nq = 4.2\r<BR>\n" );
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document.write( "nq > 5 is NOT true. Also nq is not equal to 5 either.\r<BR>\n" );
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document.write( "nq < 5 which means that the normal approximation is not suitable\r<BR>\n" );
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document.write( "You can use the binomial distribution formula (for pdf) and then add up the values from x = 10 to x = 14\r<BR>\n" );
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document.write( "However, a much quicker way is to use a calculator like this one: http://stattrek.com/online-calculator/binomial.aspx\r<BR>\n" );
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document.write( "and we get the answer\r<BR>\n" );
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document.write( "P(X > 9) = 0.5842 (this is approximate) </SPAN>\n" );
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