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A company is interested in monitoring the 4 in nails length (that follows a normal distribution)...

A company is interested in monitoring the 4 in nails length (that follows a normal distribution) that they recieve from a supplier in lots of 5000 units. It is known that sigma=0.0405. It has been determined a maximum tolerance of +0.05 and do not accept lots whose fraction defective is more than 2%. If fot a particular lot, an avergage lenght of 4.04 was obtained with n=7, compute its fractuon defective.

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