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The nails produced in the factory have a normal distribution with an average lenght of 3 cm and a standard deviation of 0.1cm. A sample

The nails produced in the factory have a normal distribution with an average lenght of 3 cm and a standard deviation of 0.1cm. A sample of 25 nails was chosen for quality control purposes. If the average lenght of these nails is less than 2.95 cm and more than 3.05 cm, the control engineer will request the production machines to be taken into maintenance. Calculate the probability of servicing the machines accordingly.

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