# Need help with 2 advanced stat questions

1. May 8, 2013

### 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 progress

1) 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?

2. May 9, 2013

### Staff: Mentor

You don't have enough information to find the estimators for $\lambda$. Perhaps you should try for the
appropriate estimators of $\theta$.