The binomial distribution calculator determines the simple and cumulative probabilities, mean, variance, and standard deviation.

- First, enter the probability of success (p), number of trials (n), and number of successes (x) values.
- After entering all the values, press the 'Calculate' button to generate probability results.
- Finally, the tool shows the simple and cumulative probabilities of the binomial distribution. In addition, it shows the mean, variance, and standard deviation results.

The mean, variance, and standard deviation for the binomial distribution is calculated using the following formulas:

**Mean (μ) = n × p**

**Variance (σ ^{2}) = n × p × (1−p)**

**SD (σ) = √n × p × (1−p)**

Where,**n** = Number of Trials,**p** = Probability of Success,**SD** = Standard Deviation.