document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171634>Question 1171634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider a binomial random variable X with n=5 and p=0.40<BR>\n" );
document.write( "a. Find the probability distribution of X<BR>\n" );
document.write( "b. Find P(X<3)<BR>\n" );
document.write( "C. Find P(2<=X<=4)<BR>\n" );
document.write( "d. Find the mean and the variance of X </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796629 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=796629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 5*0.4 or 2<BR>\n" );
document.write( "variance is 2*0.6 or 1.2<BR>\n" );
document.write( "-<BR>\n" );
document.write( "probability x=0 is 0.6^5=0.07776<BR>\n" );
document.write( "probability x=1 is 5*0.4*0.6^4=0.2592<BR>\n" );
document.write( "for x=2 is 5C2*0.4^2*0.6^3=0.3456<BR>\n" );
document.write( "for x=3 it is 5C3*0.4^3*0.6^2=0.2304<BR>\n" );
document.write( "for x=4 it is 5*0.4^4*0.6=0.0768<BR>\n" );
document.write( "for x=5 it is 0.4^5=0.01024\r<BR>\n" );
document.write( "\n" );
document.write( "for x<3, add the probabilities of x=0,1,2<BR>\n" );
document.write( "for 2 < x < 4, add the probabilities of x=2,3, 4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );