Every year, all oil companies that operate production fields on the Norwegian continental shelf must report pollutant emissions to air and sea to the Norwegian Petroleum Directorate and the Norwegian Pollution Control Board. Beneath most reservoirs there is a zone of water which, after some time of production, is drawn up into the wells and becomes part of the "liquid" produced in the fields. The water is separated from the oil, but some oil remains in this production water. Based on current technology, it can be assumed that the oil concentrations in randomly selected discharges of production water released into the sea are normally distributed with expectation μ = 21.6 mg/l and standard deviation o = 3.4 mg/l. The authorities require that the oil concentration in production water released into the sea must be less than 30 mg/1. a) Find the probability that a randomly selected emission exceeds the authorities' requirements. b) What is the probability that a randomly selected discharge is less than 25 mg/l? c) Find the probability that the oil concentration in production water in a randomly selected discharge will lie within [μ-30, μ + 30].
Every year, all oil companies that operate production fields on the Norwegian continental shelf must report pollutant emissions to air and sea to the Norwegian Petroleum Directorate and the Norwegian Pollution Control Board. Beneath most reservoirs there is a zone of water which, after some time of production, is drawn up into the wells and becomes part of the "liquid" produced in the fields. The water is separated from the oil, but some oil remains in this production water. Based on current technology, it can be assumed that the oil concentrations in randomly selected discharges of production water released into the sea are normally distributed with expectation μ = 21.6 mg/l and standard deviation o = 3.4 mg/l. The authorities require that the oil concentration in production water released into the sea must be less than 30 mg/1. a) Find the probability that a randomly selected emission exceeds the authorities' requirements. b) What is the probability that a randomly selected discharge is less than 25 mg/l? c) Find the probability that the oil concentration in production water in a randomly selected discharge will lie within [μ-30, μ + 30].
A First Course in Probability (10th Edition)
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![Every year, all oil companies that operate production fields on the Norwegian continental shelf
must report pollutant emissions to air and sea to the Norwegian Petroleum Directorate and the
Norwegian Pollution Control Board. Beneath most reservoirs there is a zone of water which, after
some time of production, is drawn up into the wells and becomes part of the "liquid" produced in
the fields. The water is separated from the oil, but some oil remains in this production water.
Based on current technology, it can be assumed that the oil concentrations in randomly selected
discharges of production water released into the sea are normally distributed with expectation μ
= 21.6 mg/l and standard deviation o = 3.4 mg/l.
The authorities require that the oil concentration in production water released into the sea must
be less than 30 mg/l.
a) Find the probability that a randomly selected emission exceeds the authorities'
requirements.
b) What is the probability that a randomly selected discharge is less than 25 mg/l?
c) Find the probability that the oil concentration in production water in a randomly selected
discharge will lie within [µ - 3o, µ + 30].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be6e21c-a409-44e1-b92f-adc766a3532f%2F42ef1dd7-b79d-43dc-b0aa-276c62bac453%2F8d4jldr_processed.png&w=3840&q=75)
Transcribed Image Text:Every year, all oil companies that operate production fields on the Norwegian continental shelf
must report pollutant emissions to air and sea to the Norwegian Petroleum Directorate and the
Norwegian Pollution Control Board. Beneath most reservoirs there is a zone of water which, after
some time of production, is drawn up into the wells and becomes part of the "liquid" produced in
the fields. The water is separated from the oil, but some oil remains in this production water.
Based on current technology, it can be assumed that the oil concentrations in randomly selected
discharges of production water released into the sea are normally distributed with expectation μ
= 21.6 mg/l and standard deviation o = 3.4 mg/l.
The authorities require that the oil concentration in production water released into the sea must
be less than 30 mg/l.
a) Find the probability that a randomly selected emission exceeds the authorities'
requirements.
b) What is the probability that a randomly selected discharge is less than 25 mg/l?
c) Find the probability that the oil concentration in production water in a randomly selected
discharge will lie within [µ - 3o, µ + 30].
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