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The joint pdf of (X, Y ) is given by f(x, y) = xy for 0 < x < k and 0 < y <

The joint pdf of (X, Y ) is given by f(x, y) = xy for 0 < x < k and 0 < y < k

=0 elsewhere

(1) Find the value of the constant k.

(2) Find the probability P(X + Y < 1).

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