Suppose that X and Y have a continuous joint distribution for which the joint p.d.f. is defined

Question:

Suppose that X and Y have a continuous joint for which the joint p.d.f. is defined as follows:

Determine
(a) the value of the constant c;
(b) Pr(X +Y > 2);
(c) Pr(Y (d) Pr(X ‰¤ 1);
(e) Pr(X = 3Y).

Distribution
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