I have just sat a paper that a failed big time!
Because on on question I couldn't get started on and it was worth 21 marks.
So could some one put my mind at rest as to the answer to this question.
If X1,....Xi is distributed poison with E[Xi]=lamda then if
lamda(estimate)=1/n * sum[Xi]
What is the expected value and variance of lamda(estimate)
Thanks in advance
im really sorry but i came to the forum asking for help not a smart ass comment about the fact you know where you can find it. Not all of us are maths genius's but we come here to ask for some help.
When working on this I kept getting the a return of Lamda(estimate) = Lamda
This is because E[1/n*sum(Xi)]=1/n*Sum(E[Xi]) =1/n*sum(lamda)=1/n*n*lamda=lamda
Can you now explain where i am going worry. I dont understand how you link helps me
2. Had you posted your working and answer in your original post, I could have said "Yes, your answer for the expected value is correct". Why should we spend time typing out a solution you already have when simple confirmation is all that's required?
3. You do not say whether of not the random variables are independent. The answer for the variance depends on knowing this. But either way, you will find the required formulas if you make an effort to find them. Then it is simply a matter of applying them.
4. It's not my fault you might have failed an exam.