document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019416>Question 1019416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean weight of 200 students is 140 pounds,and the standard deviation is 10 pounds.If we assume that the weights are normally distributed,evaluate thefollowing:<BR>\n" );
document.write( "(i)The expected number of students that weigh between 110and145 pounds<BR>\n" );
document.write( "(ii)The expected number of students that weigh lessthan 120pounds.<BR>\n" );
document.write( "(iii)The expected number of students that weigh more than 170pounds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635394 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=635394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "between 110 and 145 is a z between -30/10 (-3) and a z of (5/10) or 1/2<BR>\n" );
document.write( "That probability is 0.6901. and that is 138 students.<BR>\n" );
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document.write( "Fewer than 120 pounds is fewer than -2 sd.  The probability is 0.02275, and that is 5 students, rounded.<BR>\n" );
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document.write( "more than 170 pounds is more than +3 sd.  The probability is 0.00134, and that would be 0 students, rounded (Expected value is 0.27) </SPAN>\n" );
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