document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458426>Question 458426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the distribution of the diameter (in cm) of oranges  from a tree is N(10,2^2) ..<BR>\n" );
document.write( "a. Sketch a graph of the distribution that displays both the actual diameters as well as the z-score along the horizontal axis.<BR>\n" );
document.write( "b. Find the z-score for each of the following diameters :<BR>\n" );
document.write( "a) 12 cm  b)9 mm  c)13 cm<BR>\n" );
document.write( "c. Oranges are to be dumped if their diameters have a z-score of less than -2.<BR>\n" );
document.write( "what is the diameter of oranges that are to be dumped?<BR>\n" );
document.write( "d If there are 120 oranges on the tree how many will be dumped?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314508 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=314508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the distribution of the diameter (in cm) of oranges from a tree is <BR>\n" );
document.write( "N(10,2^2) ..<BR>\n" );
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document.write( "a. Sketch a graph of the distribution that displays both the actual diameters as well as the z-score along the horizontal axis.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "b. Find the z-score for each of the following diameters :<BR>\n" );
document.write( "a)12 cm::: z = (12-10)/4 = 1/2 <BR>\n" );
document.write( "b)9 mm ::: z = (9-10)/4 = -1/4<BR>\n" );
document.write( "c)13 cm::: z = (13-10)/4 = 3/4<BR>\n" );
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document.write( "Note: If the 9mm is really 9mm and not a typo,<BR>\n" );
document.write( "9/1000 = 90/100 = 90cm<BR>\n" );
document.write( "In which case the z-value is (90-10)/4 = 80/4 = 20<BR>\n" );
document.write( "c. Oranges are to be dumped if their diameters have a z-score of less than -2.<BR>\n" );
document.write( "what is the diameter of oranges that are to be dumped?<BR>\n" );
document.write( "Use x = zs+u<BR>\n" );
document.write( "x = -2*4+10 = 2 inches<BR>\n" );
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document.write( "d If there are 120 oranges on the tree how many will be dumped?<BR>\n" );
document.write( "P(z < -2) = normalcdf(-100,-2) = 0.02275<BR>\n" );
document.write( "# to be dumped = 0.02275*120 = 2.73 ~ 3 when rounded up<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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