The article "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants" (Water Research [1984]: 1169-1174) suggests the uniform distribution on the interval from 7.5 to 20 as a model for x = depth (in centimeters) of the bioturbation layer in sediment for a certain region
a. Draw the density curve for x.
b. What is the height of the density curve?
c. What is the probability that x is at most 12?
d. What is the probability that x is between 10 and 15?
e. What is the probability that x is between 12 and 17?
f. Why are the two probabilities computed in Parts (d) and (e) equal?