document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072204>Question 1072204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The annual per capita consumption of ice cream&#8203; (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation of 2.1 lbs.<BR>\n" );
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document.write( "a. What percent of the population consumes at most 10 lbs&#8203; yearly?<BR>\n" );
document.write( "b. Jack estimates that&#8203; 24% of the population eats more ice cream than he does.  Find how much ice cream he eats per year.<BR>\n" );
document.write( "c. Between what two values does the middle&#8203; 80% of the consumption&#8203; lie? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687079 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=687079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at most 10 is z < (10-14)/2.1 or -1.905<BR>\n" );
document.write( "probability z < -1.905 is 0.0284 or 2.84%<BR>\n" );
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document.write( "z value for the 76th percentile is 0.705<BR>\n" );
document.write( "0.705=(x-14)/2.1<BR>\n" );
document.write( "1.4805-x-14<BR>\n" );
document.write( "x=15.48 lb.<BR>\n" );
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document.write( "That is 10% on each side which corresponds to a z value of +/-1.28<BR>\n" );
document.write( "1.28=(x-14)/2.1<BR>\n" );
document.write( "x-14=2.69<BR>\n" );
document.write( "x=16.69 lb top end<BR>\n" );
document.write( "x=11.31 pounds bottom end<BR>\n" );
document.write( "(11.31 lb, 16.69 lb) is the interval. </SPAN>\n" );
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