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An electronic scale in an automated filling operation

An electronic scale in an automated filling operation stops the manufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.001 and each fill is independent.

(a) What is the mean number of fills before the line is stopped?

(b) What is the standard deviation of the number of fills before the line is stopped?

(a) What is the mean number of fills before the line is stopped?

(b) What is the standard deviation of the number of fills before the line is stopped?

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