MHB How Do You Calculate Estimators and Analyze Complication Rates in Statistics?

[NYCStats22]

Really need help with these two questions. I have been working on them for some time and just can't seem to make any significant progress1) X is a continuous random variable with density function

f(x) = (θ + 1)x^θ , 0 < x < 1 and 0 elsewhere

Derive both the method of moments estimator and the maximum likelihood estimator for λ.

*For the MOM estimator you will need to find the mean*2) Two surgical procedures are compares and what is of interest are the complication rates. 150 patients had procedure A and there were 35 complications while procedure B tested 138 patients and there were 34 complications. Does this indicate a difference at a 1% level. What is the P-value?

 

[MarkFL]

Hello and welcome to MHB, NYCStats11! (Wave)

Even though you say you have not made significant progress, can you post what progress you have made? This will give our helpers some idea where you are stuck and how to best help you, even if all you can state is what theorems you think may apply.