# Probability and confidence level

## Main Question or Discussion Point

frequentistic probability and confidence level

a)
I have three variables,
1.probability,
2.confidence level(or interval) and
3.time.
is there a formula that include all these three variable?

b)
Frequentistic probability is interpreted as the frequency of qccurences of outcomes of stochastic experiments. Is there any formula for this?

Last edited:

Homework Helper
b) the a posteriori definition of probability states that if an experiment
posesses the property of statistic stability of relative frequences, then we
define the probability of an outcome of an experiment A as a real number
P(A) $$\in$$ [0, 1]. The relative frequences are of form
$$\frac{n_{a}}{n}$$, where $$n$$ is the number of repetitions
of the experiment we made, and $$n_{a}$$ is the number of outcomes A of the experiment which were of interest to us. For a big $$n$$,
$$\frac{n_{a}}{n}$$ should gather around a real number P(A),
which we call the probability of a outcome A. But, this definition of
probability is mathematically inconsistent, because the relative frequences
don't necessarily have to converge.