document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924472>Question 924472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 217.51 minutes?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560924 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 190 minutes , sd =  21 minutes, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+190%29%2Fblue%2821%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+190%29%2Fblue%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "  Using the z-value to determine the Probability:<BR>\n" );
document.write( "p( x < 217.51) = P(z < 27.51/21) = P( z < 1.31) <BR>\n" );
document.write( "Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P( z < 1.31) = normalcdf( -100, 1.31) = .9049  0r 90.49% </SPAN>\n" );
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