Question: Suppose 5% of the microchips produced by a leading microchip manufacturer are defective. An inspector inspects 10 microchips. Historically, given that a microchip is defective, the inspector accepts it 10% of the time thinking it has no defect. If a microchip is not defective, he always correctly accepts it.

1. What is the probability that all 10 microchips in the sample are not defective?
2. What is the probability that the inspector accepts 9 (out of 10) microchips?
3. Given that the inspector accepts a microchip, what is the probability that it has no defect?

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