Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Oct-2001 - Nov-2016

Category > Management Posted 03 Feb 2018 My Price 10.00

amount of pollutant

In Exercise 5.10, we proved that

is a valid joint probability density function for Y1, the amount of pollutant per sample collected above the stack without the cleaning device, and for Y2, the amount collected above the stack with the cleaner.

a If we consider the stack with the cleaner installed, find the probability that the amount of pollutant in a given sample will exceed .5.

b Given that the amount of pollutant in a sample taken above the stack with the cleaner is observed to be 0.5, find the probability that the amount of pollutant exceeds 1.5 above the other stack (without the cleaner).

Exercise 5.10

An environmental engineer measures the amount (by weight) of particulate pollution in air samples of a certain volume collected over two smokestacks at a coal-operated power plant. One of the stacks is equipped with a cleaning device. Let Y1 denote the amount of pollutant per sample collected above the stack that has no cleaning device and let Y2 denote the amount of pollutant per sample collected above the stack that is equipped with the cleaning device.

Suppose that the relative frequency behavior of Y1 and Y2 can be modeled by

That is, Y1 and Y2 are uniformly distributed over the region inside the triangle bounded by y1 = 2, y2 = 0, and 2y2 = y1.

a Find the value of k that makes this function a probability density function.

b Find P(Y1 ≥ 3Y2). That is, find the probability that the cleaning device reduces the amount of pollutant by one-third or more

 

Answers

Maurice Tutor
(5)
Status NEW Posted 03 Feb 2018 10:02 PM My Price 10.00

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