Joint distro, exponential distro, f(x) = lamda e^(-lamda x)

mooshupork34

Junior Member
Joined
Oct 29, 2006
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72
I'm unsure of how to go about the following so any help would be appreciated!

Let X and Y be independent random variables with an exponential distribution with parameters µ and λ (note that the exponential distribution is given by f(x) = λe^(-λx). Let U = min{X,Y} and V = max{X,Y}. Also, let W = V - U.

Show that U and W are independent.
 
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