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Q3: Let X1, X2 be two random variables with joint pdf given below: (x1, X2) f(x1, X2; 0) (0,0) 12 - 70 + 02 12

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Q3: Let X1, X2 be two random variables with joint pdf given below: (x1, X2) f(x1, X2; 0) (0,0) 12 - 70 + 02 12 (0, 1) 40 - 02 12 (1, 0) 40 - 02 12 (1, 1) 0 + 02 12 * where 0 E Q = {0,1,2,3,4} 1. Is X1 and X2 a random sample ? Why ? 2. Is T1 = X1 + X2 a sufficient statistic for 0? Why ? 3. Is T2 = X1X2 a sufficient statistic for 0? Why

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