document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198914>Question 1198914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The reading test scores for the population of fifth graders is normally distributed with a mean of of 55 and a standard deviation of 8. What percentage of fifth graders score more than 47, but less than 71?\r<BR>\n" );
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document.write( "The correct answer is one of the following.  Which one is correct?\r<BR>\n" );
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document.write( "A) 13.5%\r<BR>\n" );
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document.write( "B) 84%\r<BR>\n" );
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document.write( "C) 97.5%\r<BR>\n" );
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document.write( "D) 81.5%\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 #832595 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52816)</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=832595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Regarding this problem, I want to make some notices.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    There is a dark spot in the problem. \r\n" );
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document.write( "    This dark spot is that the problem does not say if we should consider scores \r\n" );
document.write( "    as continues variables or as discrete integer variables.\r\n" );
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document.write( "    If the scores are integer variables, then the interval \"more than 47, but less than 71\" \r\n" );
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document.write( "    is the interval [48,70], but not the interval [47,71], which @Theo considers in his solution.\r\n" );
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document.write( "    Also, if the scores are discrete integer variables, then we should use the \"continuous correction\",\r\n" );
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document.write( "    which leads to the interval [47.5,70.5].\r\n" );
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document.write( "Since there is this dark spot in the problem's formulation, I even do not try to give a solution.\r<BR>\n" );
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document.write( "The formulation must be clarified, otherwise any solution is questionable.\r<BR>\n" );
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