How to find the standard deviation of a binomial distribution?
Understand the Problem
The question is asking for the method to calculate the standard deviation of a binomial distribution, which involves understanding the properties of binomial distributions and the formula used for standard deviation in this context.
Answer
σ = √(n * p * (1 - p))
The formula for the standard deviation of a binomial distribution is σ = √(n * p * (1 - p)).
Answer for screen readers
The formula for the standard deviation of a binomial distribution is σ = √(n * p * (1 - p)).
More Information
The standard deviation measures the spread of the probability distribution. For a binomial distribution, it depends on both the number of trials and the probability of success.
Tips
Common mistakes include using incorrect values for n, p, or q, and forgetting to take the square root in the final step.
Sources
- Mean, Variance, and Standard Deviation of a Binomial Probability Distribution - courses.lumenlearning.com
- How to Calculate the Standard Deviation of a Binomial Distribution - study.com
- Binomial Distribution - Stat Trek - stattrek.com
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