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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size n = 20, so X ~ Bin(20, 0.05). (Round your probabilities to three decimal places.)

(a) Determine P(X ? 2).

(b) Determine P(X ? 5).

(d) What is the probability that none of the 20 boards is defective?

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