document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614104>Question 614104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameters in oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40.<BR>\n" );
document.write( "What percentage of the oranges in this orchard have diameters of less than 4.7 inches?<BR>\n" );
document.write( "What percentage of the oranges in this orchard are larger than 5.10?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386416 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=386416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diameters in oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40.<BR>\n" );
document.write( "What percentage of the oranges in this orchard have diameters of less than 4.7 inches?<BR>\n" );
document.write( "z(4.7) = (4.7-5.3)/0.4 = -0.6/0.4 = -3/2<BR>\n" );
document.write( "P(x < 4.7) = P(z < -3/2) = normalcdf(-100,-3/2) = 0.0668 <BR>\n" );
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document.write( "What percentage of the oranges in this orchard are larger than 5.10? <BR>\n" );
document.write( "z(5.1) = (5.1-5.3)/0.4 = -0.2/0.4 = -1/2<BR>\n" );
document.write( "P(x> 5.1) = P(Z > -1/2) = normalcdf(-1/2,100) = 0.6917<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );