document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174170>Question 1174170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. The weight of pineapple slices, in grams, in a tin is normally distributed with mean µ<BR>\n" );
document.write( "and standard deviation of 7.8 grams. Given that 10% of tins contain less than 200 grams.<BR>\n" );
document.write( "a. What is the value of µ? (give your answer to the nearest whole number<BR>\n" );
document.write( "b. What percentage of the tins contain more than 225 grams? <BR>\n" );
document.write( "c. What percentage of tins weigh between 215 grams and 230 grams? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799710 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=799710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the 10th percentile is z=-1.28<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "-1.28=(200-mean)/7.8<BR>\n" );
document.write( "200-mean=-9.98<BR>\n" );
document.write( "mean=209.98 or 210 gm.<BR>\n" );
document.write( "-<BR>\n" );
document.write( ">225 gm would be a z> 15/7.8 or 1.92. That probability is 0.0274<BR>\n" );
document.write( "-<BR>\n" );
document.write( "between 215 and 230 would be a z of between 5/7.8 and 20/7.8 or 0.64 and 2.56<BR>\n" );
document.write( "probability is 0.2559<BR>\n" );
document.write( "or calculator 2nd VARS 2 normalcdf(215,230,210,0.78) ENTER 0.2556 (less rounding than above)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );