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…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here ). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 7 8 9. 10 Milliliters 340 349 348 351 344 341 344 340 344 355 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 348 343 349 352 360 357 356 355 355 350 a) Use the data shown above to construct a 93% confidence interval estimate for the…
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Terrariums are self-contained ecosystems inside a closed container. A local farmer produces terrariums for sale, but must wait for the plants in the terrarium to grow before she can sell them. On average, her terrariums take 30 days before they are ready to sell. She experiments with a new soil mixture, aiming to decrease the time it takes for the terrariums to be ready. In a sample of 12 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 21 days with a standard deviation of 3 days. in testing the hypotheses H0:μ= 30 and Ha:μ< 30, what is the value of the tt-test statistic? Round your answer to three decimal places.

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