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If the joint probability density of X and Y is

If the joint probability density of X and Y is given by

Find

(a) P(X ≤ 1/2 , Y ≤ 1/2 );

(b) P(X + Y > 2/3 );

(c) P(X > 2Y).

Find

(a) P(X ≤ 1/2 , Y ≤ 1/2 );

(b) P(X + Y > 2/3 );

(c) P(X > 2Y).

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