Suppose the joint pdf of lifetimes of a certain part and a

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Suppose the joint pdf of lifetimes of a certain part and a spare is given by

f(x, y) = e^?(x+y), 0 < x < ?, 0 < y < ?

and zero otherwise.

(a) Find the marginal pdf of X?

(b) Find P(X > 2)?

(d) Find P(X + Y ) > 2

(e) Are X and Y independent?

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