Let S=(1,2,3,4,5,6,7,8) be a random sample of independent values from a Binomial distribution B(250,P) with unknown p.
Find the moments estimator for p.
Some hints about that. or does 250 matters in this question ?
Let S=(1,2,3,4,5,6,7,8) be a random sample of independent values from a Binomial distribution B(250,P) with unknown p.
Find the moments estimator for p.
Some hints about that. or does 250 matters in this question ?
The method of moments estimator sets the sample mean equal to the population mean.
So, in a way you have two n's.
By the way, that data doesn't look like it would come from a Bin(250,p).
But what you should do is compute the sample mean of 1 through 8
which is (8)(9)/2=45 divided by 8 or 4.5 and set that equal to 250p and solve for p.
Thus $\displaystyle \hat P=4.5/250=.018$
This data is hardly from a bin(250,p) distribution.
Maybe more of a Poisson.