Every year, all oil companies that operate production fields on the Norwegian continental shelfmust report pollutant emissions to air and sea to the Norwegian Petroleum Directorate and theNorwegian Pollution Control Board. Beneath most reservoirs there is a zone of water which, aftersome time of production, is drawn up into the wells and becomes part of the "liquid" produced inthe 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 selecteddischarges 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 mustbe 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 selecteddischarge will lie within [µ - 3o, µ + 30].

GivenMean(μ)=21.6standard deviation(σ)=3.4The authorities require that the oil concentration in…

Answered: Every year, all oil companies that…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?
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Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous orNonhomogeneous
ONLY parts L, M, and N please show work too
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In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…
Set up the appropirate intergal
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