document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159867>Question 1159867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular fruit's weights are normally distributed, with a mean of 409 grams and a standard deviation of 9 grams.\r<BR>\n" );
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document.write( "If a fruit is picked at random then 17% of the time, its weight will be greater than how many grams?\r<BR>\n" );
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document.write( "Give your answer to the nearest gram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782981 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=782981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use 2nd VARS 3 invnorm (.83,409,9) to get 417.58, which rounds to 418 gm<BR>\n" );
document.write( "17% of the time the weight will be greater than is the 83rd percentile\r<BR>\n" );
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document.write( "or 83rd percentile is +0.95 for z<BR>\n" );
document.write( "z=(x-mean.sd)=+0.95<BR>\n" );
document.write( "x-mean=+8.55<BR>\n" );
document.write( "x=417.55 which rounds up to 418 gm. The weight will be greater than 418 gm 17% of the time </SPAN>\n" );
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