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    Chebyshev's Theorem

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    1. The lengths of pins produced by a machine follow a normal distribution with mean 2.54 cm and standard deviation 0.04 cm. A pin is rejected if its length is less than 2.44 cm or more than 2.60 cm.

    Find the percentage of pins that are accepted.

    2. If it is decided that 2.5% of the pins are to be rejected because they are two long and 2.5% because they are two short, determine the new range of acceptable lengths.

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    https://brainmass.com/statistics/probability-theory/chebyshevs-theorem-example-problem-299380

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