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In a factory, billions nails are produced each week. The quality control group found that about 0.25% of the nails are defective. (a) In a

In a factory, billions nails are produced each week. The quality control group found that about 0.25% of the nails are defective.

(a) In a box of 2000 nails, what is the probability that exactly 3 nails are defective?

(b) Use Poisson distribution to approximate the answer to part (a).

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