**5. Correct. The answer is true.**

Applying the definition of expected value:

The expansion implies a expected total production of E[3X+2Y]. Remember that this expected value can be expressed as follows: E[3X] + E[2Y] = 3E[X] + 2E[Y] = 2*(8/3) + 3*(31/9) = 47/3 or 15.6667. So, the expected total quantity is 15,667 tons.