8. Let XX, be a random sample from (x; ) = ex, x>0, >0. Find the UMVUE of Var (X).. 9. Let X1, X2, X, be a random sample from the density f (x; 0) = (1+x) (1+0), x>0, where > 0 is unknown. a) Find the MLE of 1 b) Find a complete sufficient statistic for 10. Let X1, X2, X, be a random sample from the density f (x; 0) = 1 xx ,x > 0, where 0>0 is unknown. 20 a) Find a complete sufficient statistic for b) Find the CRLB for the variance of the unbiased estimators of 30 c) Find the UMVUE of 30 if such exists b) Find the UMVUE of 0. 11. Let X1, X2, X, be a random sample from a Bernoulli distribution, say Pr(X=1)=0 and Pr(X=0)=1-0. .... a) Find the CRLB for the variance of unbiased estimators of (1-0) b) Find the UMVUE of 0 (1-0) if such exists. 12. Let X1, X2, X, be a random sample from (0,5) distribution, where ER is the unknown parameter a) Find the minimal sufficient statistic for e b) Find the CRLB for the variance of unbiased estimators of 0,0. Is there a UMVUE of 02.