Question: Consider a random variable X takes value out of { 1, 2, 3, 4,5, 6, 7, 8} with equal prob- ability, i.e., P(X = i)

Consider a random variable X takes value out of { 1, 2, 3, 4,5, 6, 7, 8} with equal prob- ability, i.e., P(X = i) = = for i = 1, 2, . .. , 8. Then we define some events: (a) A = B = {X = 1, 2,3,4} (b) C = {X =1,5,6,7} Now please compute P(A), P(C) and P(A, B, C). Check whether P(A, B, O) = P(A)P(B) P(C) and whether event. A is independent with C

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