document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264417>Question 264417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes.  <BR>\n" );
document.write( "a.<BR>\n" );
document.write( "What is the probability that a student will finish the examination in two hours or more?  <BR>\n" );
document.write( "b.<BR>\n" );
document.write( "What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes?  <BR>\n" );
document.write( "c.<BR>\n" );
document.write( "What is the probability that a student will finish the examination in more than 140 minutes?<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 #194680 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=194680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. <BR>\n" );
document.write( "a.<BR>\n" );
document.write( "What is the probability that a student will finish the examination in two hours or more?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2 hrs is 120 minutes which is the mean.<BR>\n" );
document.write( "P(x>= 120) = 0.5000<BR>\n" );
document.write( "---------------------------- <BR>\n" );
document.write( "b.<BR>\n" );
document.write( "What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes?<BR>\n" );
document.write( "z(100) = (100-120)/12 = -20/12 = -1.667<BR>\n" );
document.write( "z(150) = (150-120)/12 = 30/12 = 2.5<BR>\n" );
document.write( "--<BR>\n" );
document.write( "P(100< x < 150) = P(-1.667 < z < 2.5) = 0.9460<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "c.<BR>\n" );
document.write( "What is the probability that a student will <BR>\n" );
document.write( "finish the examination in more than 140 minutes?<BR>\n" );
document.write( "z(140) = (140-120)/12 = 1.667<BR>\n" );
document.write( "P(z > 140) = P(z> 1.667) = 0.0478<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" );