document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162762>Question 1162762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random variable X follows the uniform distribution with a lower limit of 520 and an upper limit of 620.\r<BR>\n" );
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document.write( "a. Calculate the mean and the standard deviation for the distribution. (Round intermediate calculation for standard deviation to 4 decimal places and final answer to 2 decimal places.)\r<BR>\n" );
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document.write( "b. What is the probability that X is less than 570? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)\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 #786597 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean is 570, the midpoint.<BR>\n" );
document.write( "sd is (b-a)/sqrt (12)<BR>\n" );
document.write( "=100/sqrt(12)<BR>\n" );
document.write( "=100*2*sqrt(3)/12<BR>\n" );
document.write( "=16 2/3 sqrt (3)=28.87<BR>\n" );
document.write( "The probabilityX<570 is 0.5 </SPAN>\n" );
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