Suppose that X1, X2, X3 are independent with the common probability mass function: P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3 a. Plot the probability mass function of X2_average = (X1 + X2)/ 2 b. Determine E [X2_average] and Var [X2_average] c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3 d. Determine E [X3_average] and Var [X3_average]

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