document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172800>Question 1172800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ages of a group of executives attending a con-<BR>\n" );
document.write( "vention are uniformly distributed between 35 and 65<BR>\n" );
document.write( "years. If the random variable X denotes ages in years,<BR>\n" );
document.write( "the probability density function is as follows:<BR>\n" );
document.write( "f(x) =<BR>\n" );
document.write( "f1/30 for 35 < < 65<BR>\n" );
document.write( "for all other values of x<BR>\n" );
document.write( "a. Graph the probability density function for X.<BR>\n" );
document.write( "b. Find and graph the cumulative distribution func-<BR>\n" );
document.write( "tion for X.<BR>\n" );
document.write( "c. Find the probability that the age of a randomly<BR>\n" );
document.write( "chosen executive in this group is between 40 and<BR>\n" );
document.write( "50 years.<BR>\n" );
document.write( "d. Find the mean age of the executives in the group. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797970 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=797970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C35%2C65%2C-1%2F30%2C1%2F2%2C%281%2F30%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C35%2C65%2C-1%2F30%2C1%2F2%2C%281%2F30%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "the ordinate is at 1/30.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "-CDF is F(x)=(x-35)/30 for 35 <= x <x 65<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Probability between 40 and 50 is 10, the difference divided by 35, or 2/7.<BR>\n" );
document.write( "-mean age is  (a+b)/2=100/2=50<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );