Estimation theory, need help

mike1111

I got a question on estimation theory. Can anyone explain it to me or give me a link with some tut and solutions so I can get a better understanding.

I got a maths question which i have asked for help but no one has replied yet. Since it was a statistical question I should have posted it here.

The question can be found here:
http://www.physicsforums.com/showthread.php?t=401521

I'm stuck on part (b)
The two issue I think I have with the question are that I don't understand the term "binomial proportion" and estimation theory in general. Can and one explain this to me?

mike1111

Is the "binomial proportion" just the probability the event is successful?
i.e. for 2 coin toss with 50/ 50 chance of either H or T, the binomial proportion for 2 heads is 1/4?

Is my understanding correct... or is it something else?

moonman239

A binomial probability is the probability that a random sample of size n will have an outcome of x. The equation is

P(x) = n!/(k!-(n-k)!) * p^k * q^n-k

where k is number of outcomes you want,
p is probability of an outcome,
q is probability of an outcome not happening.

For example, suppose that there are 999 voters in the US. 599 voters were in favor for a certain candidate. If I randomly select 110 voters out of the population, the probability that 56 voters will be in favor of the candidate is

110!/(56!-(110-56)!) * .5995996⁵⁶ * .4004004⁵⁴ = 2.2345492668874894732687678194543e+103 * .5995996⁵⁶ *q⁵⁴ =
3.632743322467059575061399533725e-13 * q⁵⁴

gives me a probability of 1.2443365480583675485269518116737 e-34