Question: A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 80% of the components used and the remainder are

A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 80% of the components used and the remainder are produced by plant B. The proportion of defective components produced at plant A is 2% and the proportion of defective components produced at plant B is 3%.

If a component received by the manufacturer is defective, what is the probability that it was produced at plant A?

If a component received by the manufacturer is not defective, what is the probability that it was produced at plant A?

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