Two independent random variables u and v have the following joint p.d.f f (u,v)={┤λμ^█(-(λu+μv) u0,v0@) Where µ and λ are constants. Determine the p.d.f of x=µ-v if Xo Use the cumulative distribution function technique

Question

Two independent random variables u and v have the following joint p.d.f
f (u,v)={┤λμ^█(-(λu+μv)     u>0,v>0@)
Where µ and λ are constants. Determine the p.d.f of x=µ-v if
	X<0
	X>o
Use the cumulative distribution function technique

anonymous · Answer

can u make write the question a bit more clearly .....some part is not visible.

anonymous · Answer

It is the difference of two independent random variables u and v. 
1) whenever X>0
2) whenever X<0
F(U,V)={lamda.mew.e^-(lamda u+ mew v)  u>0, v>0

anonymous · Answer

i just learnt it yesterday for first time...so i cant help much ..yet,lets try!

anonymous · Answer

I'll be very grateful sir!

anonymous · Answer

it is a function of independent variables so we can integrate separately wrt u and v and equate to 1 to get two equations and thereby get lamda and mew...

anonymous · Answer

Yeah, you are right, after which we combine the two,eh?

anonymous · Answer

yes we can solve both to get mew n lambda..