A supplier of kerosene has a weekly demand Y possessing a probability density function given by
{ y, 0 ≤ y ≤ 1,
f(y) = { 1, 1 ≤ y ≤ 1.5
{ 0, elsewhere,
with measurements in hundreds of gallons. (This problem was introduced in Exercise 4.13.) The supplier's profit is given by U = 10Y - 4.
Find the probability density function for U.