document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636271>Question 636271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help,\r<BR>\n" );
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document.write( "The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.30 inches and a standard deviation of 0.80 inches. <BR>\n" );
document.write( "(A)  What percentage of the grapefruits in this orchard have diameters less than 6.7 inches?<BR>\n" );
document.write( "(B)  What percentage of the grapefruits in this orchard are larger than 7.20 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400887 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=400887\">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 7.30 inches and a standard deviation of 0.80 inches. <BR>\n" );
document.write( "(A) What percentage of the grapefruits in this orchard have diameters less than 6.7 inches?<BR>\n" );
document.write( "z(6.7) = (6.7-7.3)/0.8 = -0.75<BR>\n" );
document.write( "P(x < 6.7) = P(z<-0.75) = normalcdf(-100,-0.75) = 0.2266<BR>\n" );
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document.write( "(B) What percentage of the grapefruits in this orchard are larger than 7.20 inches?<BR>\n" );
document.write( "Find the z-score of 7.20<BR>\n" );
document.write( "Find the probability z is greater than that z-score.<BR>\n" );
document.write( "Ans: 0.5497<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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