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Answer to Question #45330 in Statistics and Probability for Akshaya

Question #45330
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.
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