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Sat 14 Feb, 2015 02:56 pm
the weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons.
the operations manager labels any week that is in the bottom 20% of production a "bad week." How many metric tons should be used to define a bad week?
@judyyuuu,
I've forgotten more than I used to know about this, but the standard deviation for uniform distribution is one half the range divided by the root of three. That would make 58% of your sample within one sigma of the mean, leaving about 27.3 tons in the remaining 42% If round figures are good enough, halve the 27.3 and say 110+13.5 or 123.5 constitutes a bad week.