The standard deviation of a binomial random variable X is given by the formula σ² = np(1 − p),where n is the number of trials,and p is the probability of success.

Standard Deviation

Standard deviation is a measure of the dispersion or spread of a set of numbers, indicating how much individual numbers in a dataset deviate from the mean or average.

Random Variable

A statistical variable whose outcomes are numeric and result from unpredictable events.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states across a number of trials.