manufacturer does not know the mean and SD of the diameters of ball bearings he is
producing. However, a sieve system rejects all bearings larger than 2.4cm and those under
1.8cm in diameter. Out of 1000 ball bearings 8% are rejected as too small and 5.5% as too
big. What is the mean and standard deviation of the ball bearings produced assuming that
the diameters of ball bearings are normally distributed?
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