The binomial probability distribution is known as the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. Such as the success and also the failure experiment is also called a Bernoulli experiment or Bernoulli trial. In fact, when n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis and also the popular binomial test of statistical significance.
Binomial Distribution on Binomial Probability Distribution Table:Definition of Binomial Distribution :
A random variable X is said to be follow as Binomial distribution if its probability mass function is given by
P(X = x) = p(x) = { nCx px qn −x, x = 0, 1, . . .n
Constants of Binomial Distribution :
Mean = np
Variance = npq
Standard deviation = Variance = npq
X ∼ B(n, p) denotes that the random variable X follows Binomial distribution with parameters n and p
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