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If X and Y are independent exponential random variables, each having parameter λ  =  4, find...

If X and Y are independent exponential random variables, each having parameter λ  =  4, find the joint density function of U  =  X + Y  and  V  =  e 3X.

The required joint density function is of the form

fU,V (u, v)  = 
{ g(u, v) u  >  h(v), v  >  a
0 otherwise

(a) Enter the function g(u, v) into the answer box below.
(b) Enter the function h(v) into the answer box below.
(c) Enter the value of a into the answer box below
Math   Statistics-And-Probability   
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