document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581465>Question 581465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes.  What is the probability that a randomly selected time will be less than 4 minutes?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks again. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371649 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "mean = 4.5 minutes\r<BR>\n" );
document.write( "\n" );
document.write( "P(x<4 minutes)\r<BR>\n" );
document.write( "\n" );
document.write( "How many standard deviations?\r<BR>\n" );
document.write( "\n" );
document.write( "(4-4.5)/(.3) = -.5/.3 = -1.6666666 = -1 2/3 std dev\r<BR>\n" );
document.write( "\n" );
document.write( "z-score = -1.666666, p value = .0478 \r<BR>\n" );
document.write( "\n" );
document.write( "4.78% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );