The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. (a)

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The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500.

(a) Find the probability that in a randomly chosen box, (i) there are two defective bolts, (ii) there are more than three defective bolts.

(b) Two boxes are picked at random from the production line. Find the probability that one has two defective bolts and the other has no defective bolts.

(c) Three boxes are selected at random. Find the probability that they contain no defective bolts.

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