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Answer the letter c. I' When a machine is serviced. between 1 and 5 of its parts are replaced. Records indicate that 7% of machines

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Answer the letter c.

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I' 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 it below. (4 marks} The cost of servicing a machine is $56 plus $12.50 per part replaced and the random variable Y is the cost of servicing a randomly selected machine. is) Determine the mean and standard deviation of Y. (3 marks}

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