document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087104>Question 1087104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let X be a continuous random variable with p.d.f<BR>\n" );
document.write( "f(x) = 6x(1-x)<BR>\n" );
document.write( "     = 0, otherwise<BR>\n" );
document.write( "Check that f(x) is a p.d.f </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701384 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=701384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Integrate 6x(1-x) between 0 and 1<BR>\n" );
document.write( "integral of 6x-6x^2<BR>\n" );
document.write( "That is 3x^2-2x3<BR>\n" );
document.write( "evaluate at x=1 (1)<BR>\n" );
document.write( "and at x=0 (0)<BR>\n" );
document.write( "subtract, and x=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C2%2C-2%2C2%2C6x-6x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C2%2C-2%2C2%2C6x-6x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );