The binominal distribution consists of the probability of success with respect to the probability of failure. For this reason, the concept of nominal distribution establishes a probability that has a certain sequence with trials between the final result, which will be success, or as we discussed, failure.
What is the formula for the binomial distribution?
The formula for the binomial distribution is the one we find below. Before knowing it, it is important to take into account what each value of the binomial distribution represents, and of all the elements that compose it "p" will be success, "q" will be failure and "n" will represent the number of trials and experiments that are carried out. Finally "x" will refer to the total number of successes achieved.
However, when calculating the formula for the nominal distribution, it must be taken into account that the final result will be completely independent of those that may have been achieved previously.
Finally, we must also take into account the presence of certain parameters, such as the variance, the standard deviation and the mean:
- Variance: µ = n. P
- Media: o2 = n. p. q
- Desviación típica: o = √npq
What are the characteristics of the binomial distribution?
One of the main characteristics of the binomial distribution is that always the probability of success that is given by "p" is a constant. Therefore, to carry out this experiment, tests will always be needed. Therefore, for each of the trials or tests carried out throughout the experiment, there will only be a total of two possible results, success or failure. Of course, the probability of failure must also be constant.
Another of the properties of the binominal distribution that we must highlight is that the events are exclusive, because as we have commented, the two results cannot be given, or we find ourselves with success or we find ourselves with failure. However, we will always find a random variable. In this case, the random will always be the number of experiments performed.