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A company has a 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly saying a good item is defective. The company has evidence that its production is 0.9% defective.

a.) What is the probability that an item selected for inspection is classified as defective?
b.) If an item randomly selected is classified as nondefective. What is the probability that it is really good?

Value Proportion

0 0.17
2 0.35
3 0.33
4 0.15

a.) Determine the cumulative distribution function of the Value.
b.) Determine the mean and variance of the Value.