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When a machine is serviced, between 1 and 5 of its parts are replaced. Records indicate that 7% of machines need 1 part replaced, 8% need 5 parts replaced, 12% need 4 parts replaced, and the mean number of parts replaced per service is 2.82. Let the random variable X be the number of parts that need replacing when a randomly selected machine is serviced. (a) Complete the probability distribution table for X below. (4 marks) X 1 2 3 4 5 P ( X = x) 0. 07 0. 32 0.41 0. 12 0. 08