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The joint probability density function (pdf) of X and Y is given by f(x, y) =...

The joint probability density function (pdf) of X and Y is given by

f(x, y) = cx^2 (1 − y), 0 < x ≤ 1, 0 < y ≤ 1, x + y ≤ 1.

(a) Find the constant c.

(b) Calculate P(X ≤ 0.5).

(c) Calculate P(X ≤ Y)

Math   Statistics-And-Probability   
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