Joint Probability Distributions Example Let X and Y be jointly continuous random variables having joint density
Joint Probability Distributions Example: Let X and Y be jointly continuous random variables having joint density f(x; y) = 3y for 0 x y 1; 0 otherwise. Sketch the domain of f as well as f. ?? ?? ?? ?? ?? ??-6 Determine P(Y 2X). 1 Jointly Discrete Probability Distributions Denition 5.1: Let X and Y be discrete random variables. The joint probability mass function of X and Y is p(x; y) = P(X = x; Y = y) which is dened for all x and y. Remark: The joint distribution can be given in tabular form. For example: y 0 1 2 0 1/9 2/9 1/9 x 1 2/9 2/9 0 2 1/9 0 0 Denition 5.