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J l_ Question #10 [bonus 129519 W has developed a design for a high-quality portable printer. The two key components of manufacturing cost are direct labor and parts. During a testing period, the company has developed prototypes and conducted extensive product tests with the new printer. m engineers have developed the following [...] probability distribution for the manufacturing costs. Part costs (in dollars] per printer is represented by the random variable Jr and direct labor cost {in dollars} per printer is represented by the random variable 1!. Management would like to use the probability distribution to estimate manufacturing costs.(-' e: Direct labor {og 455' P Show the marginal distribution of direct labor cost and compute expected value, variance, and standard deviations? Show the marginal distribution of parts cost and compute expected value, variance, and standard deviations-J c. Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unitssJ Compute the expected value, variance, and standard deviation of total manufacturing cost per unit.(I Are direct labor and part costs independent? Why or why not? If you conclude that they are not, what is the relationship between direct labor and parts oost'.'I f. m produced 1500 printers for its product introduction. 'lhe total manufacturing cost was $198,350. Is this about what you would expect? If it is higher or lower, what do you think may be the reason?