proof for mean and variance in binomial distribution
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Let X be a discrete random variable with the binomial distribution with parameters n and p.
Then the variance of X is given by:
var(X)=np(1−p)
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A binomial random variable is the number of successes x in n repeated trials of a binomial experiment. ... The binomial distribution has the following properties: The mean of the distribution (μx) is equal to n * P . The variance (σ2x) is n * P * ( 1 - P ). The standard deviation (σx) is sqrt[ n * P * ( 1 - P ) ].
Step-by-step explanation:
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