EuroWatch currently has an order for 750 watches from an important customer

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ANSWER ALL QUESTIONS

Question one EuroWatch currently has an order for 750 watches from an important customer. The company plans to fill this order by packing more than 750 watches, all from line 2 and sending this package off to the customer. Obviously, EuroWatch wants to send as few watches as possible, but it wants to be 99% sure that when the customer opens the package, there are at least 750 defect-free watches. How many watches should be packed?

Question two EuroWatch has another order for 1500 watches. Now it plans to fill this order by packing more than one hour’s production from each line. This package will contain the same number of watches from each line. As in the previous question, EuroWatch wants to send as few watches as possible, but it again wants to be 99% sure that when the customer opens the package, there are at least 1500 defect-free watches. The question of how many watches to pack is unfortunately quite difficult because the total number of defect-free watches is not binomially distributed. Therefore, the manager asks you to solve the problem with simulation (and some “trial and error.”) How many watches should be packed? (Hint: It turns out that it is much more efficient to simulate small numbers than large numbers, so simulate the number of watches with defects, not the number without defects.)

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