Check the Notes of Binomial Distribution by Palpali Bharat. The Note Contains all the concepts, Problems and solutions regarding Binomial Distribution.
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Key Notes of Binomial Distribution:
Binomial distribution is a discrete probability distribution that describes the probability of getting a certain number of successes in a fixed number of independent trials. The distribution is called binomial because it deals with two possible outcomes, which are usually referred to as success and failure.
The parameters of a binomial distribution are:
- n: The number of trials.
- p: The probability of success in each trial.
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The probability of getting exactly k successes in n trials is given by the binomial probability mass function:
P(X = k) = (n choose k) * p^k * (1 – p)^(n – k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
The mean and variance of a binomial distribution are:
- Mean: μ = np
- Variance: σ^2 = np(1-p)
Binomial Distribution Complete Notes:
