The groundwater concentration of a chemical in a region (X) is a random variable with probability...

The groundwater concentration of a chemical in a region (X) is a random variable with probability density function ?? (?) = { 1.2(? + ? 2 ) 0 < ? < 1 0 ??ℎ??????

a) Find the cumulative distribution of X.

b) Graphically illustrate the PDF and CDF if

c) Find the probability that X exceeds 0.5.

d) Find the mean, median and mode of X.

e) Find the standard deviation ? and coefficient of variation of X.

f) Find the probability that the concentration is within ±2? of the mean.

g) Determine the quantile estimation function and Graphically illustrate the function.

h) Find the 90%, 95%, and 99% quantiles of X.

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Expert Solution

Ally Wells answered 1 year ago

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