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  • How to calculate binomial distribution!

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  • Binomial Distribution
    Defined w/ 11 Examples!

    Did you know that the binomial distribution is built from the Bernoulli distribution?

    Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)

    And wouldn’t it be nice if the probability, expectation, and variance were all pre-calculated for discrete random variables?

    Well, for some essential discrete random variables, this is precisely the case.

    Bernoulli Random Variable

    The most straightforward kind of a random variable is called the Bernoulli Random Variable.

    The Bernoulli random variable only has one independent trial; thus, it can only take one of two values – one and zero. A 1 means the experiment was a success, and a zero indicates the experiment failed. A Bernoulli random variable has the following properties:

    Bernoulli Distribution Mean And Variance

    Worked Example

    Let’s look at an example of a Bernoulli random variable.

    Suppose we flip a coin only once.

    Binomial probability distribution formula

    If it lands heads, then we win (success). But if it lands tails, then we lose (failure). This means that

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