Question
Let ( X , Y ) be a uniformly distributed random point on the quadrilateral D with vertices (0, 0), (2, 0), (1, 1) and
Let (X, Y) be a uniformly distributed random point on the quadrilateral D with vertices (0, 0), (2, 0), (1, 1) and (0, 1).
(a) Find the joint density function of (X, Y) and the marginal density functions of X and Y.
(b) Find E[X] and E[Y].
(c) Are X and Y independent?
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Introduction to Probability
Authors: Mark Daniel Ward, Ellen Gundlach
1st edition
716771098, 978-1319060893, 1319060897, 978-0716771098
