**4. Correct.** **The answer is false**. If we calculate the definite integral between
0 and 0.5, then we will have that:

6 [ 1/2 x ^{2
}|_{0}^{0.5}] - 6 [ 1/3 x ^{3 }|_{0}^{0.5}]
= 6[1/8 - 1/24] = 0.5.

So, the oil company will discover crude oil with a 50% of probability.