Suppose X1, X2, X3 are independent and identically distributed uniform on k = 0, 1, 2, 3 (i. e., P( Xi = k ) = 0.25 for k = 0, 1, 2, 3 and i = 1, 2, 3). What is the PMF of S = X1 + X2 + X3 ?
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Step 1: Calculate the PMF of S = X1 + X2 + X3 by finding all possible values of S and their probabilities. Show more…
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