For the random variable X with probability density function $$f(x) = \frac{(x - 3)^{2}}{5}$$; x = 3, 4, 5, the variance of X is:

A

$$\frac{2}{25}$$

B

$$\frac{4}{5}$$

C

$$\frac{4}{25}$$

D

$$\frac{2}{5}$$