document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159326>Question 1159326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answer the following questions for a continuous random variable X with density function given below  <BR>\n" );
document.write( "𝑓(𝑥) =1/2,      𝑓𝑜𝑟 1 ≤ 𝑥 ≤ 3<BR>\n" );
document.write( "A.  Calculate the probability for random variable X 𝑃(𝑋 ≤ 1.6)<BR>\n" );
document.write( "B.  Derive the cumulative distribution function F(x)<BR>\n" );
document.write( "C.  Use the cumulative distribution function F(x) to evaluate  P(2 < X < 2.5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782354 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=782354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is a uniform function with pdf f(x)=1/(b-a)\r<BR>\n" );
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document.write( "the cumulative distribution function is<BR>\n" );
document.write( "0 for x<=1<BR>\n" );
document.write( "(x-a)/(b-a) for 1 < x<3 (integrate the pdf (1/b-a) between a and b or 1 and 3<BR>\n" );
document.write( "1 for x>=3\r<BR>\n" );
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document.write( "probability x <= 1.6 is 0.6/2.0 or 30%<BR>\n" );
document.write( "probability of the second (doesn't format when I write it mathematically) is 0.5/2.0 or 25%<BR>\n" );
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