7.23 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 5 depth (in centimeters) of the bioturbation layer in sediment for a certain region.

a. Draw the density curve for x. (Hint: See Example 7.8)

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?