Binomial Distribution Calculator
Binomial Distribution Calculator Info
The Binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent trials, each with the same probability of success.
Within sporting events a Binomial Distribution can be used to model things like the number of free throws made out of a number of attempts.
Formula
The probability mass function of a Binomial distribution is:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
- n is the number of trials
- p is the probability of success in a single trial
- k is the number of successes
- (n choose k) is the binomial coefficient, the number of ways to choose k successes from n trials
Properties
- Mean: n*p
- Variance: n*p*(1-p)
- Standard Deviation: √(n*p*(1-p))