document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403996>Question 403996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the normal approximation for the binomial probablity that x = 4. where n = 12 and p = 0.6.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285566 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=285566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the normal approximation for the <BR>\n" );
document.write( "binomial probablity that x = 4. where n = 12 and p = 0.6.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "mean = np = 12*0.6 = 2<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(2*0.4) = sqrt(0.8)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "z(3.5) = (3.5-2)/sqrt(0.8) = 1.6771<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z(4.5) = (4.5-2)/sqrt(0.8) = 2.7951<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x = 4) = P(1.6771< z < 2.7951) = 0.0442<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========= <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );