(iii) Let X be the number of the cars being repaired at a repair shop. We have the following information: At any time, there are at most 3 cars repaired. The probability of having 2 cars at a shop is same as the probability of having 1 car. The probability of having no car is the same as the probability of having 3 cars. The probability of having 1 or 2 cars is double of the probability of having 0 or 3 cars. Find the p.m.f. of X.
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