document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186966>Question 1186966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean weight of all the vehicles in Fiction County is 3650 pounds, and the standard deviation of the weights is 425 pounds. Find the probability that the total weight of a random sample of fifty-three Fiction County vehicles exceeds 190,800 pounds.\r<BR>\n" );
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document.write( "Round your answer to four decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820463 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=820463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the average weight would be 190800/53=3600 pounds<BR>\n" );
document.write( "the sd is s/sqrt(n)=425/sqrt(53)=58.38 pounds<BR>\n" );
document.write( "z=(3600-3650)/58.38<BR>\n" );
document.write( ">-50/58.38=-0.856<BR>\n" );
document.write( "probability is 0.8041<BR>\n" );
document.write( "or<BR>\n" );
document.write( "3650*53=193450<BR>\n" );
document.write( "sd=425*sqrt(53)=3094; <BR>\n" );
document.write( "z>(190800-193450)/3094=-0.8565 </SPAN>\n" );
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