document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973095>Question 973095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time. Find the 95 percentile point. \r<BR>\n" );
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document.write( "please provide each step </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595339 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time. Find the 95 percentile point. <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "P(Z < 1.645) &#8776; 0.95<BR>\n" );
document.write( "We want to find the 95th percentile x such that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28mu%29%29%2F%28sigma%29 ALIGN=MIDDLE  ALT=\"%28x-%28mu%29%29%2F%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.645<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-50%29%2F10 ALIGN=MIDDLE  ALT=\"%28x-50%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.645<BR>\n" );
document.write( "x = 10*(1.645) + 50 = 66.45<BR>\n" );
document.write( "Therefore, the 95th percentile point is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2866.45%29 ALIGN=MIDDLE  ALT=\"highlight%2866.45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes [2 decimal places] </SPAN>\n" );
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