document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028001>Question 1028001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1 <BR>\n" );
document.write( "Suppose that the random variable X has the following cumulative distribution function:<BR>\n" );
document.write( "x	-1	1	3	5<BR>\n" );
document.write( "F(x)	1/4	1/2	3/4	1\r<BR>\n" );
document.write( "\n" );
document.write( "	Find the probability distribution of this random variable.<BR>\n" );
document.write( "	Find p(x<3),p(x >=1 )    <BR>\n" );
document.write( "	Find the mean of the random variable X.<BR>\n" );
document.write( "	Find the standard deviation of the random variable X.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643221 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=fe8.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3C3%29=P%28-1%29%2BP%281%29=0.250%2B0.250=0.5 ALIGN=MIDDLE  ALT=\"P%28X%3C3%29=P%28-1%29%2BP%281%29=0.250%2B0.250=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3E=1%29=P%281%29%2BP%283%29%2BP%285%29=0.250%2B0.250%2B0.250=0.75 ALIGN=MIDDLE  ALT=\"P%28X%3E=1%29=P%281%29%2BP%283%29%2BP%285%29=0.250%2B0.250%2B0.250=0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=2.0 ALIGN=MIDDLE  ALT=\"mu=2.0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=2.291 ALIGN=MIDDLE  ALT=\"sigma=2.291\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );