document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618180>Question 618180</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.95 inches and a standard deviation of 0.75 inches.  Show all work.<BR>\n" );
document.write( "(A)  What percentage of the grapefruits in this orchard have diameters less than 6.6 inches?<BR>\n" );
document.write( "(B)  What percentage of the grapefruits in this orchard are larger than 6.9 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388755 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=388755\">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 6.95 inches and a standard deviation of 0.75 inches. Show all work.<BR>\n" );
document.write( "(A) What percentage of the grapefruits in this orchard have diameters less than 6.6 inches?<BR>\n" );
document.write( "z(6.6) = (6.6-6.95)/0.75 = -0.4667<BR>\n" );
document.write( "P(x < 6.6) = P(z < -0.4667) = 0.3204 = 32.04%<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "(B) What percentage of the grapefruits in this orchard are larger than 6.9 inches?<BR>\n" );
document.write( "Do the same with 6.9.<BR>\n" );
document.write( "Find its z-score<BR>\n" );
document.write( "Find the probability z igreater than that z-score.<BR>\n" );
document.write( "I get answer = 0.5266 = 53.66%<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );