document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480922>Question 480922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.3.  Compare this probability to the value of P(x=6) \r<BR>\n" );
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document.write( "Thank you kindly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329403 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=329403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the normal approximation for the binomial probability that x = 6, <BR>\n" );
document.write( "where n = 15 and p = 0.3. Compare this probability to the value of P(x=6) <BR>\n" );
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document.write( "u = np = 15*0.3 = 4.5<BR>\n" );
document.write( "s = sqrt(4.5*0.7) = 1.7748<BR>\n" );
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document.write( "P(x = 6) = P(5.5 < x < 6.5)<BR>\n" );
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document.write( "z(5.5) = (5.5-4.5)/1.7748 = 0.5634<BR>\n" );
document.write( "z(6.5) = (6.5-4.5)/1.7748 = 1.1269<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "P(5.5 < x < 6.5) = P(0.5634< z <1.1269) = 0.1567<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Using the binomial distribution:<BR>\n" );
document.write( "P(x = 5) = binompdf(15,0.3,5) = 0.2061<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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