document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061782>Question 1061782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Teacher A has 190 students in her mathematics class. the scores in the final exam are normally distributed with a mean of 74.4 and standard deviation of 8.7.how many students in the class can be expected to receive a score between 84 and 90? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676572 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=676572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "lower value for z=(84-74.4)/8.7<BR>\n" );
document.write( "z lower=+1.10<BR>\n" );
document.write( "z upper=(90-74.4)/8.7=15.6/8.7=+1.79<BR>\n" );
document.write( "probability of z being 1.10 and 1.79 is 0.0989<BR>\n" );
document.write( "Multiply that by 190 (I didn't round until the end) and the answer is 19.  Rounded, it would still be 19.<BR>\n" );
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