document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182745>Question 1182745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If np ≥ 5 and nq ≥ 5​, estimate P(fewer than 7) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial​ distribution; if np < 5 or nq < ​5, then state that the normal approximation is not suitable.\r<BR>\n" );
document.write( "\n" );
document.write( "Select the correct choice below​ and, if​ necessary, fill in the blank to complete your choice.\r<BR>\n" );
document.write( "\n" );
document.write( "A. P(fewer than 7) = __<BR>\n" );
document.write( "(Round to four decimal places as​ needed.)\r<BR>\n" );
document.write( "\n" );
document.write( "B. The normal approximation is not suitable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812900 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> normal is suitable<BR>\n" );
document.write( "np=7 mean<BR>\n" );
document.write( "np(1-p)=3.5=variance<BR>\n" );
document.write( "sd=sqrt(V)=1.87<BR>\n" );
document.write( "z <=(6.5-7)/1.87, using continuity correction factor<BR>\n" );
document.write( " z <=-0.5/1.87<BR>\n" );
document.write( "=-0.2673<BR>\n" );
document.write( "probability is 0.3946, using the normal approximation.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "The exact value is 0.3953 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );