document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161385>Question 1161385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The employees of Cartwright Manufacturing are awarded efficiency ratings. The distribution<BR>\n" );
document.write( "of the ratings follows a normal distribution. The mean is 400, the standard deviation 50.<BR>\n" );
document.write( "(a) What is the area under the normal curve between 400 and 482? Write this area in probability notation.<BR>\n" );
document.write( "(b) What is the area under the normal curve for ratings greater than 482? Write this area in<BR>\n" );
document.write( "probability notation.<BR>\n" );
document.write( "(c) Show the facets of this problem in a chart.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784972 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=82/50=1.64<BR>\n" );
document.write( "the area is from z=0 to z=+1.64 which is the probability and is equal to 0.4495<BR>\n" );
document.write( "p(400<rating<482)=0.4495\r<BR>\n" );
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document.write( "That is the half-area (0.50)-the 0.4495 calculated above or 0.0505.<BR>\n" );
document.write( "P(rating>482)=0.0505 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );