Mathematics, 08.03.2021 21:20 nuggets7717

Consider the triangle with vertices (0, 0), (1, 0), (0, 1). Suppose that (X, Y) is a uniformly chosen random point from this triangle. (a) Sketch the support of joint distribution (X, Y). (b) Find the marginal density functions of X and Y. (c) Calculate the expectations E[X] and E[Y]. (d) Calculate the expectation E[XY]. (e) Determine whether X and Y are independent.

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