Answer to Question #45330 in Statistics and Probability for Akshaya

Question

The joint probability function of two discrete random variables X and Y is given by f(x ,y) = c(2x+y), where x and y can assume all integral values such that 0 ≤ x ≤ 2, 0 ≤ y ≤ 3, and f(x, y) = 0 otherwise. Find the value of the constant c, (ii) P(x=2, y=1), (iii) P(x≥1, y≤2), (iv) Marginal probability functions of X and Y. Check whether X and Y are independent.