Binomial Distribution

binomial distribution is a probability distribution function used when there are exactly two mutually exclusive possible outcomes of a trial. The outcomes are classified as success and failure, and the binomial distribution is used to obtain the probability of observing x successes in n trials.

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StudySmarter Editorial Team

Team Binomial Distribution Teachers

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    Frequently Asked Questions about Binomial Distribution

    What is a binomial distribution?

    A binomial distribution is a probability distribution that is used when there are exactly two mutually exclusive possible outcomes of a trial. The outcomes are classified as "success" and "failure", and the binomial distribution is used to obtain the probability of observing x successes in n trials.

    How do you solve a binomial distribution?

    If a random variable X has the binomial distribution B(n, p), then P(X = r) = nCr p^r (1 - p)^(n-r)

    What is the binomial distribution formula?

    If a random variable X has the binomial distribution B(n, p), then P(X = r) = nCr p^r (1 - p)^(n-r)

    What are the properties of binomial distribution?

    The properties of a binomial distribution B(n, p), are 
    1) There are a fixed number of trials, n.
    2) There are two possible outcomes, success and failure.
    3) There is a fixed probability of success, p, for all trials. 
    4) The trials are independent.

    Why is a binomial distribution used?

    A binomial distribution is used to obtain the probability of observing x successes in n trials in a random experiment with 2 possible outcomes.

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