3. Correct. The answer is false.

We have that the event R_Y is {y R_Y | 12 ≤ y ≤ 16}. The equivalent event in R_X is calculated as follows: 12 ≤ y ≤ 16 if and only if 12 ≤ 2x + 10 ≤ 16. Then, we have that 1 ≤ x ≤ 3. The function f(x) is defined in the set {x R_X / 1 ≤ x ≤ 3}. Therefore, P[12 ≤ Y ≤ 16] = P[1 ≤ X ≤ 3]:

The expected number of oil spills in 5 years is: