document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197346>Question 1197346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6. The time it takes for high school boys to run a mile is distributed <BR>\n" );
document.write( "normally with a mean of 460 seconds and a standard deviation of 40 seconds.(3 points)\r<BR>\n" );
document.write( "\n" );
document.write( "a. What percentage of high school boys can run a mile in faster than 400 seconds?<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 #830576 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52810)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "6. The time it takes for high school boys to run a mile is distributed <BR>\n" );
document.write( "normally with a mean of 460 seconds and a standard deviation of 40 seconds.(3 points)\r<BR>\n" );
document.write( "\n" );
document.write( "a. What percentage of high school boys can run a mile in faster than 400 seconds?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Both the solution and the answer in the post of @ewatrrr are incorrect.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The correct answer is &nbsp;&nbsp;P = 0.0668.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check yourself using the online calculator at this site\r<BR>\n" );
document.write( "\n" );
document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and you will &nbsp;NEVER &nbsp;make a mistake: &nbsp;this calculator &nbsp;PREVENTS &nbsp;you of making mistakes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Not only it prevents of making mistakes: &nbsp;its plotting feature &nbsp;EXPLAINS &nbsp;you on the way, &nbsp;what you are doing \r<BR>\n" );
document.write( "\n" );
document.write( "and what you should do.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore, &nbsp;this calculator is &nbsp;INDISPESABLE &nbsp;teaching/instructionasl tool, &nbsp;when you learn this subject.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It works &nbsp;BETTER &nbsp;than any teacher.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this problem, &nbsp;they want you find the area under the normal curve &nbsp;N(460,40) &nbsp;on the left from the mark &nbsp;x = 400.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Just the common sense tells you that the percentage of those who run faster than the mean value must be less than 50%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );