Answer :
when calculating a confidence interval for the mean using a sample size of less than 30 with an unknown population standard deviation, the Binomial distribution is used.
In statistics, what is a binomial distribution?
The binomial distribution summarizes the number of trials or observations when each trial has the same chance of achieving a specific value. The binomial distribution determines the likelihood of observing a given number of successful outcomes in a given number of trials.
In a posthumous proof published in 1713, Swiss mathematician Jakob Bernoulli determined that the probability of k such outcomes in n repetitions is equal to the kth term (where k starts with 0) in the expansion of the binomial expression (p + q)n, where q = 1 p. (This is why the binomial distribution is so named.)
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