The article "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants" (Water Research, 1984: XXXXXXXXXXsuggests the uniform distribution on the interval (7.5, 20) as a model for...

The article "Modeling Sediment and Water Column Interactions for
Hydrophobic Pollutants" (Water Research, 1984: 1169-1174) suggests the
uniform distribution on the interval (7.5, 20) as a model for depth (cm) of
the bioturbation layer in sediment in a certain region.

a. What are the mean and variance of depth?
b. What is the cdf of depth?
c. What is the probability that observed depth is at most 10? Between 10 and 15?
d. What is the probability that the observed depth is within 1 standard
deviation of the mean value? Within 2 standard deviations?