document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458189>Question 458189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.7.  Compare this probability to the value of P(x=6). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314415 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=np=15%2A0.7=10.5 ALIGN=MIDDLE  ALT=\"mu=np=15%2A0.7=10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28n%2Ap%2Aq%29=sqrt%2815%2A.7%2A.3%29=1.77 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28n%2Ap%2Aq%29=sqrt%2815%2A.7%2A.3%29=1.77\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "15C6*.7^6*.3^9=.0116 area of binomial rectangle for 6.<BR>\n" );
document.write( "z=(6.5-10.5)/1.77=-2.26<BR>\n" );
document.write( "area of tail under normal curve=.0119<BR>\n" );
document.write( "z=(5.5-10.5)/1.77=-2.82<BR>\n" );
document.write( "area of tail under normal curve=.0024<BR>\n" );
document.write( ".0119-.0024=.0095 area under the normal curve for 6.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );