Question: Let X and Y be two random variables for which only 6 possible events, A1, A2, A3 A4, A5, A6,are defined:i 1 2 3 4

Let X and Y be two random variables for which only 6 possible events, A1, A2, A3 A4, A5, A6,are defined:i 1 2 3 4 5 6P(Ai) 0.3 0.1 0.1 0.2 0.2 0.1Xi -1 2 2 -1 -1 2Yi 0 2 0 1 2 1a) [5 marks] What is the joint PMF of X and Y ?b) [5 marks] Calculate the marginal distributions of X and Y .c) [5 marks] Are both variables independent?

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