The Bernoulli distribution is a discrete probability distribution for a random variable that takes only two possible values, 0 and 1. Examples of events that lead to such a random variable include coin tossing (head or tail), answers to a test item (correct or incorrect), outcomes of a medical treatment (recovered or not recovered), and so on. Although it is the simplest probability distribution, it provides a basis for other important probability distributions, such as the binomial distribution and the negative binomial distribution.
An experiment of chance whose result has only two possibilities is called a Bernoulli trial (or Bernoulli experiment). Let p denote the probability of success in a Bernoulli trial (0 < p < 1). Then, a random variable X that assigns ...
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