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Two Percent of the Parts Produced by a Machine Are

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Two percent of the parts produced by a machine are defective. Forty parts are selected. Define the random variable x to be the number of defective parts.
a.What is the probability that exactly 3 parts will be defective?
b.What is the probability that the number of defective parts will be more than 2 but fewer than 6?
c.What is the probability that fewer than 4 parts will be defective?
d.What is the expected number of defective parts?
e.What is the variance for the number of defective parts?

Correct Answer:

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a.0.0374
b...

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