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Chapter 7, Problem 34

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QUESTION:

Let (X, Y ) be a uniformly random point in the triangle in the plane with vertices (0, 0),(0, 1),(1, 0). Find Cov(X, Y ). (Exercise 18 is about joint, marginal, and conditional PDFs in this setting.

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QUESTION:

Let (X, Y ) be a uniformly random point in the triangle in the plane with vertices (0, 0),(0, 1),(1, 0). Find Cov(X, Y ). (Exercise 18 is about joint, marginal, and conditional PDFs in this setting.

ANSWER:

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Given:

Let (X, Y ) be a uniformly random point in the triangle in the plane with vertices (0, 0),(0, 1),(1, 0).

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