Final answer:
The standard deviation of a probability distribution can be found by calculating the variance and then taking the square root of the variance.
Step-by-step explanation:
The standard deviation of a probability distribution can be found by first calculating the variance and then taking the square root of the variance. The formula for the variance of a discrete random variable is given by o² = Σ (x − µ)² P(x), where x represents the values of the random variable, µ is the mean, P(x) is the corresponding probability, and Σ represents the sum of all products (x-µ)² P(x).
After finding the variance, the standard deviation is obtained by taking the square root of the variance. So, o = √(o²).