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Suppose an assembly line is able to manufacture 3000 chips per day. The probability that a...

Suppose an assembly line is able to manufacture 3000 chips per day. The probability that a chip meets the standard is independently 1/1000. An assembly line is qualified if it is able to produce at least 3 standard chips per day. (a) Write down the exact expression of the probability that this assembly line is qualified if it operates only one day. (b) Write down a relevant approximate expression for the probability from (a).

Suppose the assembly line company decides to manufacture more chips in a day in order to produce sufficient qualified chips per day with high probability. Specifically, the CEO wants to get at least 3 qualified chips per day with probability at least 0.999. How many assembly lines should the company purchase in total? (You might need wolframalpha.com or other devices to solve an equation.)

Math   Statistics-And-Probability   
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