document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193064>Question 1193064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to one survey the average travel time for students to go to school is 25 minutes if we assume that traveling times are normally distributed and that the standard deviation is 6.1 minutes, find the probability that a randomly selected student spends more than 30 minutes commuting one way </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825025 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52839)</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=825025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The normal distribution curve is a bell shaped curve.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This question is to determine the area under the normal distribution curve<BR>\n" );
document.write( "above the given score.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It can be done in different ways:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- manually,  &nbsp;&nbsp;or\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- using online calculators, &nbsp;&nbsp; or\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- using your pocket calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;MANUALLY\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To do the job manually, &nbsp;use this &nbsp;Table representing &nbsp;AREA &nbsp;to the &nbsp;LEFT &nbsp;of the &nbsp;Z-score\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On how to do it, &nbsp;see this Internet text source\r<BR>\n" );
document.write( "\n" );
document.write( "http://statisticshelper.com/how-to-use-the-z-table\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;USING &nbsp;ONLINE &nbsp;CALCULATOR\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To do the job using an online &nbsp;(free of charge) &nbsp;calculator, &nbsp;go to this web-site<BR>\n" );
document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Input the given parameters of each question into an appropriate window of the calculator and get the answers\r<BR>\n" );
document.write( "\n" );
document.write( "to your questions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The calculator has perfect description and design, &nbsp;as well as clear visual interface, which prevents you of making errors.\r<BR>\n" );
document.write( "\n" );
document.write( "So &nbsp;EVERY &nbsp;person, &nbsp;even beginner, &nbsp;may work with it on his or her own, &nbsp;even having minimum knowledge on the subject.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;USING &nbsp;YOUR &nbsp;POCKET &nbsp;CALCULATOR\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On how to use it, &nbsp;see a text description in &nbsp;THIS &nbsp;Internet source / site\r<BR>\n" );
document.write( "\n" );
document.write( "https://mathbits.com/MathBits/TISection/Statistics2/normaldistribution.htm\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Or see these &nbsp;Youtube video-lessons\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.youtube.com/watch?v=bVdQ7OzGvU0  &nbsp;&nbsp;&nbsp;&nbsp;(for &nbsp;Casio fx-991 MS)\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.youtube.com/watch?v=yYpMkgB20C4  &nbsp;&nbsp;&nbsp;&nbsp;(for &nbsp;TI-83 &nbsp;or &nbsp;TI-84 calculators)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I recommend you to play with the online calculator first.<BR>\n" );
document.write( "If you are unfamiliar with the subject, playing with the online calculator will help you a lot !\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "After learning it, you will be able to solve this problem &nbsp;(and thousand other similar and different problems) &nbsp;ON &nbsp;YOUR &nbsp;OWN,\r<BR>\n" );
document.write( "\n" );
document.write( "without asking for help from outside.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );