document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149462>Question 1149462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The random variable X is known to be uniformly distributed between 10 and 20<BR>\n" );
document.write( "1).show the graph of the probability density function<BR>\n" );
document.write( "2).compute p(X<15)<BR>\n" );
document.write( "3).compute p(12<X<18)<BR>\n" );
document.write( "4).find the var(X) and the E(X) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770784 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=770784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a number line from 1 to 20<BR>\n" );
document.write( "the probability is 0.1<BR>\n" );
document.write( "Between 10 and 20 on the x-axis, y=0.1\r<BR>\n" );
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document.write( "probability x<15 is 0.5, because the rectangle is 5 long and 0.1 wide<BR>\n" );
document.write( "probability of x=12.4 exact is 0, because it is a single dimensionless point.\r<BR>\n" );
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document.write( "expected value is 15 (a+b)/2<BR>\n" );
document.write( "variance is (b-a)^2/12=10^2/12=8.33 </SPAN>\n" );
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