3. Parts arrive at an automated machining center at the rate of 100 per hour, based on...

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3. Parts arrive at an automated machining center at the rate of 100 per hour, based on a Poisson distribution. The machining center is able to process these parts at a fixed rate of 150 per hour. That is, each part will take exactly 60/150 0.4 minutes to process.

a. (*) How many parts, on average, will be waiting to be processed? How many will be in the system (waiting and being processed)?

b. (*) How long, on average, will a part have to wait before it is processed?

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