10 Set A consists of the ten digits 0, 0, 0, 0, 0, 0, 2, 2, 2, 4. Set B consists of the seven digits 0, 0, 0, 0, 2, 2, 2. One digit is chosen at random from each set. The random variable X is defined as the sum of these two digits. i Show that P(X = 2) = ÷. ii Tabulate the probability distribution of X. iii Find E(X) and Var(X). butionsand iv Given that X = 2, find the probability that the digit chosen from set A was 2. %3D

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