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.

Explanation:

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.