the question asks to find the crlb for an unbiased estimator of in the function p(x; )=

it is a geometric function with parameter it represents the number of attacks in basketball until the first basket.

the first question asked, given sample representing no. of attacks determine , the maximum likilihood estimator of .

i think i got the first part right. I did

i split it up at this point,,and got,,

could someone double check this is correct

****for the crlb the formula for it is where

this is my working but i get stuck at the end where I presume im making a fatal error****...

from the first derivative before i already had

taking the second derivative gives and negative mean gives:-

................................................yi elds which i cannot simplify,,,,is it piossible to put the E on the denominator at this point...any help would be much appreciated! for now thankyou...it is worth noting i need a positive answer for [tex]l(\theta)[/amth] because in the next part of the question i have to give a 95 % c.i for n=5 x=1,2,2,4,1 because i use the square root etcetc