document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180934>Question 1180934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2) According to Statistics Canada, 68% of Canadians owned their own home in 2003. A local real<BR>\n" );
document.write( "estate office wants to see if this is the case for its area. The office selects a random sample of 200 people to<BR>\n" );
document.write( "estimate the percentage who own their own homes.<BR>\n" );
document.write( "a. Verify that the normal model can be used to approximate the binomial in this situation.<BR>\n" );
document.write( "b. What is the probability that at least 140 people own their own home? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811070 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=811070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> np and n(1-p)>10 <BR>\n" );
document.write( "mean is np=0.68*200=136<BR>\n" );
document.write( "variance is 136*0.32=43.52<BR>\n" );
document.write( "sd is sqrt(V)=6.60<BR>\n" );
document.write( "at least 140 people is z>(140-136)/6.60.  <BR>\n" );
document.write( "z > 4/6.60=0.606<BR>\n" );
document.write( "probability is 0.2723<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );