Binomial Distribution Standard Deviation
Standard Deviation of Binomial Distribution tells about the deviation of the data from the mean. Mathematically, Standard Deviation is the square root of the variance. The formula for the Standard Deviation of Binomial Distribution is given as
σ = √n.p.q
where,
- σ is Standard Deviation
- n is Total Number of Trials
- p is Probability of Success in Each Trial
- q is Probability of Failure in Each Trial
Example: If we toss a coin 20 times and getting head is the success then what is the standard deviation?
Solution:
We have, n = 20
Probability of Success in each trial (p) = 0.5
Probability of Failure in each trial (q) = 0.5
Standard Deviation of the Binomial Distribution, σ = √n.p.q
⇒ σ = √(20 ⨯ 0.5 ⨯ 0.5)
⇒ σ = √5 = 2.23
Binomial Distribution in Probability
Binomial Distribution in Probability gives information about two types of possible outcomes i.e. Success or Failure. Binomial Probability Distribution is a discrete probability distribution used for the events that give results in ‘Yes or No’ or ‘Success or Failure’.
Binomial distribution is calculated by multiplying the probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials.
In this article, we will learn about binomial probability distributions, binomial distribution formulas, binomial distribution meaning, and properties of a binomial distribution.
Table of Content
- What is Binomial Distribution in Probability?
- Binomial Distribution Definition
- Binomial Distribution Meaning
- Binomial Distribution Formula
- Binomial Distribution Calculation
- Binomial Distribution Examples
- Bernoulli Trials in Binomial Distribution
- Binomial Random Variable
- Binomial Distribution Table
- Binomial Distribution Graph
- Binomial Distribution in Statistics
- Measure of Central Tendency for Binomial Distribution
- Binomial Distribution Mean
- Binomial Distribution Variance
- Binomial Distribution Standard Deviation
- Binomial Distribution Properties
- Binomial Distribution Applications
- Negative Binomial Distribution
- Negative Binomial Distribution Formula
- Binomial Distribution vs Normal Distribution
- Binomial Distribution in Probability – Solved Examples
- Practice Problems on Binomial Distribution in Probability
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