Answer:
Standard Deviation (σ) = √(n * p * q)
Explanation:
To find the standard deviation of a binomial distribution, you can use the following formula:
Standard Deviation (σ) = √(n * p * q)
Where:
n is the number of trials or observations
p is the probability of success in a single trial
q is the probability of failure in a single trial (q = 1 - p)
Here are the steps to find the standard deviation of a binomial distribution:
Determine the values of n (number of trials) and p (probability of success).
Calculate the value of q (probability of failure) by subtracting p from 1 (q = 1 - p).
Multiply n, p, and q together.
Take the square root of the result obtained in step 3.
The final result will be the standard deviation (σ) of the binomial distribution.
Note: The formula assumes that the trials or observations in the binomial distribution are independent and have the same probability of success (p) for each trial.