The binomial distribution is a discrete probability distribution which is used when there are exactly two mutually exclusive outcomes of trials. These outcomes are appropriately labeled success and failure. This is used to obtain the probability of observing x successes in n trials, with the probability of success on a single trial denoted by p. The binomial distribution assumes that p is fixed for all trials. Consider a random experiment which has two possible outcomes success and failure. The probability of success in each trial is p and remains same for all n trials. The trials are independent. Let X is a random variable which represents the number of successes in n trial.
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