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(#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) = IIt-if (X.10) (II) Define suitable sufficient statistics: (III) Write the following functions as specified for sufficient statistics: U= VE