Don't understand Statistics Prob: Let X and Y be independent....

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Joystar77

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Let X and Y be independent and have exponential distributions with common rate 
(recall this means they each have density ex for x > 0) and let U = X=(X + Y )
and V = (X + Y ).
(a) What is the marginal density of U?
(b) What is the joint pdf of (U; V )?
(c) Are U and V independent?
 
Joystar77 said:
Let X and Y be independent and have exponential distributions with common rate
(recall this means they each have density ex for x > 0) and let U = X=(X + Y )
and V = (X + Y ).
(a) What is the marginal density of U?
(b) What is the joint pdf of (U; V )?
(c) Are U and V independent?
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Please share your work with us .

If you are stuck at the beginning tell us and we'll start with the definitions e.g. define exponential distributions with common rate.

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