# Question: we have random samples x1x2xn from the distribution with density...

###### Question details

we have random samples x1,x2,...,xn from the
distribution with density function:

where θ is unknown.

a) show that maximum likelihood estimate of θ is not
unbiased.

b) subtract a function which only can depend on n from the
ML-estamination so a new a estamination which is unbiased is
created.

c) decide the variance for the new estimation.

please explain thoroughly.

Thank you in advance! :)