document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138187>Question 1138187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> he  weight  of potatoes  produced  by  one  particular  farm  are  found to  be  approximately normally distributed, with the mean weight of 147 g and a standard deviation of 23g.<BR>\n" );
document.write( "What proportion of the potatoes produced by this farm will weigh less than 160 g ?\r<BR>\n" );
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document.write( "and Of  all  the  potatoes  produced  on  the  farm,  5%  are  considered  too light. What  is  the maximum weight that will be considered too light? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756030 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=756030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z<(160-147)/23 or < 13/23<BR>\n" );
document.write( "probability is 0.7140\r<BR>\n" );
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document.write( "the 5%ile is a z of -1.645<BR>\n" );
document.write( "-1.645=(x-147)/23<BR>\n" );
document.write( "-37.8=x-147<BR>\n" );
document.write( "x=109.2 g<BR>\n" );
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