Question: I need help with finding the MLE as well as part ii and iii please Let X1, . .., Xn be a random sample from

I need help with finding the MLE as well as part ii and iii please

Let X1, . .., Xn be a random sample from a distribution with probability density func- tion 1 fx (2; a) (k-1),akxk-le ar for x > 0 otherwise where k > 1 is a known integer, and a > 0 is an unknown parameter. i. Find the maximum-likelihood estimator (MLE) of a, and also of 1/a. ii. Does the variance of the MLE of 1/a attain the Cramer-Rao lower bound? iii. Construct an asymptotic interval estimator for a with a confidence level of 95%

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