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Binomial Distribution - Probability, Class 12, Math Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Binomial Distribution - Probability, Class 12, Math Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the binomial distribution?
Ans. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success.
2. How is the probability of success in a binomial distribution calculated?
Ans. The probability of success in a binomial distribution is calculated using the formula P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where P(X = k) is the probability of getting exactly k successes in n trials, C(n, k) is the number of combinations of n items taken k at a time, p is the probability of success in a single trial, and (1-p) is the probability of failure.
3. What are the parameters of a binomial distribution?
Ans. The parameters of a binomial distribution are the number of trials (n) and the probability of success in a single trial (p).
4. How do you calculate the mean of a binomial distribution?
Ans. The mean of a binomial distribution is calculated using the formula E(X) = n * p, where E(X) is the expected value or mean, n is the number of trials, and p is the probability of success in a single trial.
5. Can the binomial distribution be used to model real-life scenarios?
Ans. Yes, the binomial distribution can be used to model real-life scenarios where there are a fixed number of independent trials with a constant probability of success. For example, it can be used to model the number of defective items in a production line or the number of successful attempts in a series of independent experiments.
204 videos|288 docs|139 tests

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