document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373163>Question 373163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The age at which people get married for the entire population in the United States is normally distributed. The mean population age at which people get married is 30, and the population variance is 16. Given this information, what percentage of people get married between the ages of 26 and 34? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265660 by </B><A HREF=/tutors/aboutme.mpl?userid=SadieKhan><B>SadieKhan(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SadieKhan><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=SadieKhan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean=30<BR>\n" );
document.write( "variance= 16<BR>\n" );
document.write( "S.d = sqrt(16)= 4<BR>\n" );
document.write( "using z score formula, that is <BR>\n" );
document.write( "z= xbar- mean/sigma<BR>\n" );
document.write( "Z1= 26-30/4=-1<BR>\n" );
document.write( "z2=34-30/4= 4/4 =1<BR>\n" );
document.write( "required probability = p(26<x<34) = p(Z1)+P(z2)= 0.3413+0.3413 = 0.683 <BR>\n" );
document.write( "Hence p(26<x<34)=0.683<BR>\n" );
document.write( "68.3% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );