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?

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Chapter1: Combinatorial Analysis
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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? 

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