**3. Correct. The answer is false**. In order to calculate the value of
'a', we have to calculate the definite integral of the density function between
0 and 1. Remember that the the value of the integral of density function over
its domain is equal to 1.

1 = a [1/2 - 1/3] => a = 6

The graph of this 'oil discovery
function' (a *probabilistic density
function*) is: