document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182516>Question 1182516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If X represents a random variable coming from a normal distribution and P (X < 10.7) =0.6, then P (X > 10.7) =0.4.\r<BR>\n" );
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document.write( "True\r<BR>\n" );
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document.write( "False  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812588 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> of p(x < 10.7) = .6, then p(x > 10.7) = 1 minus .6 = .4.<BR>\n" );
document.write( "this is true.\r<BR>\n" );
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document.write( "the reason is that the normal distribution curve is symmetric about the mean.<BR>\n" );
document.write( "the area to the left of a score is equal to 1 minus the area to the right of the score.\r<BR>\n" );
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document.write( "this can be seen in the following graphs of the normal distribution curve.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/062802.jpg\" >\r<BR>\n" );
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document.write( "in these graphs, i created a mean and a standard deviation that would give me the results of 10.7 having an area to the left of it of .6.\r<BR>\n" );
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document.write( "the area to the right of it became .4, which is equal to 1 minus .6.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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