A hardware shop buys certain component from a provider. Thebatches it receives c

Question

A hardware shop buys certain component from a provider. Thebatches it receives contain 2% of the parts defective. Eachcomputer requires 6 of these parts which are chosen independentlyfrom different batches. What is the probability that this 6 parts of acomputer work properly? A hardware shop buys certain component from a provider. Thebatches it receives contain 2% of the parts defective. Eachcomputer requires 6 of these parts which are chosen independentlyfrom different batches. What is the probability that this 6 parts of acomputer work properly?

Explanation / Answer

P(defective) = 0.02

P(not defective) = 1 – P(defective)

    = 1 – 0.02 = 0.98

P(working) = P(not defective #1) * P(not defective #2) *…* P(not defective #6)

    = [P(not defective)]6

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