document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180871>Question 1180871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random variable X is given by the differential function: <BR>\n" );
document.write( "0, if x<=0;<BR>\n" );
document.write( "(4a-2x)/(3a^2), if 0<x<=a; <BR>\n" );
document.write( "0, if x>a\r<BR>\n" );
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document.write( "Find: <BR>\n" );
document.write( "(a) the integral function;<BR>\n" );
document.write( "(b) the probability of hit of the random variable into the interval (a/6; a/3).<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 #813394 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%284a-2x%29%2F%283a%5E2%29%2C+dx%2C+t%5B1%5D%2Ct%5B2%5D%29+=+%281%2F%283a%5E2%29%29%2A+int%28%284a-2x%29%2C+dx%2C+t%5B1%5D%2Ct%5B2%5D%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >,  where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+t%5B1%5D+%3C=+t%5B2%5D+%3C=+a ALIGN=MIDDLE  ALT=\"0+%3C=+t%5B1%5D+%3C=+t%5B2%5D+%3C=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%283a%5E2%29%29%2A+int%28%284a-2x%29%2C+dx%2C+a%2F6%2Ca%2F3%29%0D%0A%0D%0A=+%281%2F%283a%5E2%29%29%2A%284ax+-+x%5E2%29%5Ba%2F6%5D%5E%28a%2F3%29%0D%0A%0D%0A=+%281%2F%283a%5E2%29%29%2A%284a%5E2%2F3+-+a%5E2%2F9+-+2a%5E2%2F3+%2B+a%5E2%2F36%29%0D%0A%0D%0A=%281%2F%283a%5E2%29%29%2A%2821a%5E2%2F36%29+=+7%2F36%0D%0A%0D%0A%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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