document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973097>Question 973097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 70 and a standard deviation of 5. If only the top 25% of recruits are selected, find the cut-off score. What is the percentile rank of that sore? ( 10 points) \r<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 #595340 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=595340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 70 and a standard deviation of 5. If only the top 25% of recruits are selected, find the cut-off score. What is the percentile rank of that sore?<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "P(Z > 0.67) &#8776; 0.25<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;\" > = 0.67<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-70%29%2F5 ALIGN=MIDDLE  ALT=\"%28x-70%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.67<BR>\n" );
document.write( "x = 0.67*5 + 70 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2873.4%29 ALIGN=MIDDLE  ALT=\"highlight%2873.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1 decimal place]<BR>\n" );
document.write( "73.4 is the 75th percentile point. </SPAN>\n" );
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