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(1) Two draws are made at random without replacement from the digits {1, 2, 3, 4}. Let X1 be the first digit drawn and X2
(1) Two draws are made at random without replacement from the digits {1, 2, 3, 4}. Let X1 be the first digit drawn and X2 be the second digit. Define two random variables m = min(X1, X2) and S = X1 + X2. (a) [3pts] Make a joint distribution table for m and S. (b) [1pt] Find E(S). (Hint: Using the result in (a), you can find the distribution of S. ) (c) [1pt] Find E(m). (Hint: Using the result in (a), you can find the distribution of m. )
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