Question: 6. (24 pts) Suppose the processing times for an automated (once the machine is running it doesn't require operator involvement) machining operation have the following

6. (24 pts) Suppose the processing times for an

6. (24 pts) Suppose the processing times for an automated (once the machine is running it doesn't require operator involvement) machining operation have the following discrete distribution: Time (min.) 3 4 5 1 6 Probability 0.15 0.15 0.5 0.20 a. (6 pts) What is the average time for the machine to process a part? b. (6 pts) What is the standard deviation of the processing time? c. Suppose four parts are produced using this machining operation. i. (6 pts) What is the probability that each of the four parts is made in 4.5 minutes or less? Have you made any assumptions? Explain. ii. (6 pts) What is the probability that three or more of the parts are each made in 4.5 minutes or less? Have you made any assumptions? Explain

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