How does the Binomial Distribution Calculator work?
Free Binomial Distribution Calculator - Calculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis.
Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
What 3 formulas are used for the Binomial Distribution Calculator?
q = 1 - p
f(k;n,p) = n! * pkqn - k/k!(n - k)!
Z = X - np/√np(1 - p)
f(k;n,p) = n! * pkqn - k/k!(n - k)!
Z = X - np/√np(1 - p)
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Related Calculators
What 12 concepts are covered in the Binomial Distribution Calculator?
- binomial distribution
- discrete probability distribution of the number of successes in a sequence of n independent experiments, with a success or failure outcome
- continuity correction factor
- the bridge between the continuous normal distribution and the discrete binomial
- event
- a set of outcomes of an experiment to which a probability is assigned.
- factorial
- The product of an integer and all the integers below it
- kurtosis
- statistical measure describing the distribution, or skewness, of observed data around the mean. Also referred to as the volatility of volatility
- mean
- A statistical measurement also known as the average
- moment
- a function are quantitative measures related to the shape of the functions graph
- normal distribution
- an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
- probability
- the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes - skewness
- measure of the asymmetry of the probability distribution of a real-valued random variable about its mean
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- variance
- How far a set of random numbers are spead out from the mean
Example calculations for the Binomial Distribution Calculator
Binomial Distribution Calculator Video
