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A manufacturer buys 30% of its chips from a factory in Buffalo, and the remainder from a factory in Los Angeles. Of the chips from

A manufacturer buys 30% of its chips from a factory in Buffalo, and the remainder from a factory in Los Angeles. Of the chips from Buffalo, 2.8% are defective. Of the chips from Los Angeles, 1.8% are defective.

(a) Find the probability that a chip is defective and made in Buffalo.

(b) Find the probability that a chip is defective and made in Los Angeles.

(c) Find the probability that a chip is defective.

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