Maurice Tutor

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

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 02 Oct 2017 My Price 7.00

probability density function

14.     Particles are a major component of air pollution in many areas. It is of interest to study the sizes of con- taminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that

 

chemical process is a random variable with probability density function

((3/64)x 2 (4 − x)         0 x 4

0                    otherwise

a.    What is the probability that the impurity level is greater than 3%?

b.    What is the probability that the impurity level is between 2% and 3%?

c.    Find the mean impurity level.

d.    Find the variance of the impurity levels.

e.    Find the cumulative distribution function of the impurity level.

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Maurice Tutor
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Status NEW Posted 02 Oct 2017 01:10 PM My Price 7.00

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