Question: Let X1, X2 .Xn be a random sample of size n from a distribution with probability density function f(x,)= (1/(2 3 ))x 2 e x/ ,x0, 0 1.

Question:from a distribution with probability density function

32 −x/β 

estimatorβ, β^. Calculate the estimate1=2.00, x2=4.00, x3=7.50, x4=3.00. ?

estimatorβ, β^. Calculate the estimate1=2.00, x2=4.00, x3=7.50, x4=3.00. ?

II. from a distribution with probability density function

λ−1

estimatorCalculate the estimate1=0.1, x2=0.2, x3=0.3, x4=0.4. ?

2.estimator Calculate the estimate1=0.1, x2=0.2, x3=0.3, x4=0.4. ?

Last question, in what situation should we use β,