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It is a probability distribution for a random variable that can take on only two distinct values. For example, we take a random variable X with respect to a coin. X has only two discrete possibilities - Heads or Tails. The observation ‘head or tail’ is recorded for each toss.
The formula of Binomial Distribution is
b(x; n, P) = nCx * Px * (1 – P)n – x
Where
The binomial distribution is generally used to define the probability. You can determine the success yield of your company with the use of n & p parameters. The binomial distribution is the main part of statistics which will be helpful to determine some calculations. It is used to model the probability of obtaining one of two outcomes, a certain number of times (x), out of a fixed number of trials (n) of a discrete random event.
The Students who would like to learn binomial distribution should be aware of the properties of the binomial distribution. The binomial distribution has three primary attributes. They are the arithmetic mean, standard deviation and pattern or shape of the distribution.
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Bernoulli distribution |
Conditional binomials |
Sum of binomials |
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Poisson binomial distribution |
Limiting distributions |
Normal approximation |
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Poisson approximation |
Beta distribution |
Poisson approximation |
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