document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120404>Question 1120404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8.In a recent year, the ACT scores for high school students with a 3.50 to 4.00 GPA were normally distributed, with a mean of 24.1 and a standard deviation of 4.3. A student with a 3.50 to 4.00 GPA who took the ACT during this time is randomly selected.\r<BR>\n" );
document.write( "\n" );
document.write( "a)	Find the probability  that the student’s ACT score is less than 20.<BR>\n" );
document.write( "b)	Find the probability that the student’s ACT score is between 20 and 29.<BR>\n" );
document.write( "c)	Find the probability that the student’s ACT score is more than 29.<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 #737200 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=737200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> score <20 use z=(x-mean)/sd, z< (20-24.1)/4.3 or -4.1/4.3<BR>\n" );
document.write( "z <-.95, probability is 0.1711\r<BR>\n" );
document.write( "\n" );
document.write( "more than 29 (29-24.1)/4.3<BR>\n" );
document.write( "z> 4.9/4.3 or 1.14, probability is 0.1271\r<BR>\n" );
document.write( "\n" );
document.write( "Between 20 and 29 is everything else or 0.7018. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );