All oil companies operating production fields on the Norwegian continental shelf must report pollutants each year emissions to air and sea to the Norwegian Petroleum Directorate and the Norwegian Pollution Control Authority. Under most reservoirs there is a water zone that, after some time of production, is drawn up into the wells and becomes part of it
The "liquid" produced in the fields. The water is separated from the oil, but some oil remains in this
production water.
Based on today's technology, one can assume that the oil
concentrations in randomly selected emissions of
production water discharged into the sea is normally distributed with
the expectation μ = 21.6 mg / l and
standard deviation Ļ = 3.4 mg / l.
a) The authorities require the oil concentration in production water to
be discharged into the sea
be less than 30 mg / l. Find the probability that a randomly selected
discharge exceeds
regulatory requirements.