Please answer all parts to the question below. I will make sure to upvote!

(#1) Find appropriate sufficient statistic (s). as needed, if a random sample of size n is drawn from the following distribution where the value of the parameter 0 (> 0) is unknown. Explain your choice completely. f (x | 0) = 20 x e-8x2 *, x > 0; f ( x | 0) =0, x50. (I) Write out the simplified L function: L=f . (X,| 0) = MIT if(X,le) (II) Define suitable sufficient statistics: (III) Write the following functions as specified for sufficient statistics: VE