document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182748>Question 1182748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 137 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.\r<BR>\n" );
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document.write( "Probability that fewer than 32 voted\r<BR>\n" );
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document.write( "The probability that fewer than 32 of 137 eligible voters voted is __.<BR>\n" );
document.write( "(Round to four decimal places as​ needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813144 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=813144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> np and n(1-p) are both >10<BR>\n" );
document.write( "mean is np=137*0.22=30.14<BR>\n" );
document.write( "variance is 30.14*(0.78)=23.5092<BR>\n" );
document.write( "sd is sqrt(V)=4.85<BR>\n" );
document.write( "z < (31.5-30.14)/4.85, using the continuity correction factor.<BR>\n" );
document.write( "< 1.36/4.85 or 0.28<BR>\n" );
document.write( "That probability is 0.6103 </SPAN>\n" );
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