Let \( X \) be a continuous random variable with the probability density \[ f(x)=\left\{\begin{array}{cc} \frac{1}{3} x^{7} e^{-x^{2}} & , x>0 \\ 0 & \text {, otherwise } \end{array} ight. \]

Then the distribution of the random variable \( W=2 X^{2} \) is