document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696933>Question 696933</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.10 inches and a standard deviation of 0.40 inches.  Show all work. <BR>\n" );
document.write( "(A)  What percentage of the grapefruits in this orchard have diameters less than 6.8 inches? <BR>\n" );
document.write( "(B)  What percentage of the grapefruits in this orchard are larger than 6.7 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429545 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=429545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.10 inches and a standard deviation of 0.40 inches. Show all work. <BR>\n" );
document.write( "(A) What percentage of the grapefruits in this orchard have diameters less than 6.8 inches? <BR>\n" );
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document.write( "z(6.8) = (6.8-6.1)/0.4 = 0.7/0.4 = 1.75<BR>\n" );
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document.write( "P(x < 6.8) = P(z < 1.75) = 0.9599<BR>\n" );
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document.write( "(B) What percentage of the grapefruits in this orchard are larger than 6.7 inches?<BR>\n" );
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document.write( "z(6.7) = (6.7-6.1)/0.4 = 0.6/0.4 = 3/2<BR>\n" );
document.write( "P(x > 6.7) = P(z > 1.5) = normalcdf(1.5,100) = 0.0401<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );