document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419164>Question 419164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The G.F packs 'shrimphs' in three categories:\"small\", Medium and Large, with average weight of 1.4kgs and standard deviation of 0.6kgs. if a pack weight more than 1.91kgs, it is marked 'large'. if a pack weight less than 0.47kgs, it is marked as small.A pack weighing in between 0.47kgs to 1.91kgs is marked as medium. identify the proportion of packs in each category:<BR>\n" );
document.write( "weight: more than 1.91kgs    between 1.91kgs & .47kgs   less than .47kgs<BR>\n" );
document.write( "category:  large                medium                      small<BR>\n" );
document.write( "Prop. of Packs: -                         -                  - </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293184 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The G.F packs 'shrimp' in three categories:\"small\", Medium and Large, with average weight of 1.4kgs and standard deviation of 0.6kgs. <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "if a pack weighs more than 1.91kgs, it is marked 'large'. <BR>\n" );
document.write( "if a pack weight less than 0.47kgs, it is marked as small<BR>\n" );
document.write( "A pack weighing in between 0.47kgs to 1.91kgs is marked as medium. <BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "identify the proportion of packs in each category:<BR>\n" );
document.write( "weight: more than 1.91kgs <BR>\n" );
document.write( "between 1.91kgs & .47kgs <BR>\n" );
document.write( "less than .47kgs<BR>\n" );
document.write( "------<BR>\n" );
document.write( "I'll work one part and leave the other two to you.<BR>\n" );
document.write( "Proportion of medium:<BR>\n" );
document.write( "Find z(0.47) = (0.47-1.4)/0.6 = -1.55<BR>\n" );
document.write( "Find z(1.91) = (1.91-1.4)/0.6 = 0.85<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Prop of medium = P(-1.55<= z <=0.85) = normalcdf(-1.55,0.85) = 0.7418<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "category: large medium small<BR>\n" );
document.write( "Prop. of Packs: - - -<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );