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A machine that manufactures automobile pistons is estimated to produce a defective piston1%of the time. Suppose that this estimate is correct and that a random

A machine that manufactures automobile pistons is estimated to produce a defective piston1%of the time. Suppose that this estimate is correct and that a random sample of90pistons produced by this machine is taken.

Answer the following.

(a)Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.

(b)Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

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