If X is a random variable with PDF $$f\left(x\right) = \frac{x^{2}}{9}; 0 < x < 3$$ the cumulative contribution function of $$Y = X^{5}$$

A

$$\frac{y^{\frac{2}{5}}}{27}; 0 < y < 243$$

B

$$\frac{y^{\frac{1}{5}}}{27}; 0 < y < 243$$

C

$$\frac{y^{\frac{3}{5}}}{27}; 0 < y < 243$$

D

$$\frac{y^{\frac{4}{5}}}{27}; 0 < y < 243$$