The density f(x,y) is given by the formula f(x,y) = 8x(x + y), x ≥ 0, y ≥ 0, x + y ≤ 1 and zero o...

Question

Question

The density f(x,y) is given by the formula f(x,y) = 8x(x + y), x ≥ 0, y ≥ 0, x + y ≤ 1 and zero otherwise.

(a) Find the marginal distributions.

(b) Find the conditional distribution of Y given X = x.

(c) Find P(X ≤ 1/2, Y ≤ 1/2)

(d) Find P(X ≤ 1/2)

(e) Find P(Y ≤ 1/2 | X ≤ 1/2)

(f) Find P(Y ≤ 1/2 | X = 1/2)

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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