How to find the standard deviation of a probability distribution?
In statistics, the standard deviation is the amount of variation or dispersion of the set of values.
Answer: The standard deviation for a binomial probability distribution is given by √npq.
Let us proceed step by step.
The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.
For a binomial distribution,
µ = np, which signifies the expected number of successes.
σ2 = npq , σ2 is the variance.
Since, the standard deviation is the square root of the variance,
Therefore, σ = Standard deviation = √npq
Thus, the standard deviation for a binomial probability distribution is given by √npq.