68 Let X and W be the working and subsequent repair times of a certain machine Let Y X W and suppose that the joint probability density of X and Y is fX,Y (x, y) 2ey , 0 x y (a) Find the density of X (b) Find the density of Y (c) Find the joint density of X and W (d) Find the density of W ...

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68. Let X and W be the working and subsequent repair times of a certain machine. Let...

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68. Let X and W be the working and subsequent repair times of a certain machine.

Let Y = X + W and suppose that the joint probability density of X and Y is fX,Y (x, y) = λ2e−λy , 0 < x < y < ∞

(a) Find the density of X.

(b) Find the density of Y .

(c) Find the joint density of X and W.

(d) Find the density of W.

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Introduction To Probability Models

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Authors: Sheldon M. Ross

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68. Let X and W be the working and subsequent repair times of a certain machine. Let...

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