Statistics
Probability Distribution Calculator
Normal, Binomial, and Poisson probability metrics. Calculate probabilities, expected values, and variances for standard discrete and continuous probability distributions.
Dataset Input
Valid formats: 12, 15.5, 20 or newline separated lists. Non-numeric values are automatically excluded.
Summary Metrics
Sample Size (n)10
Min / Max Range[12, 30]
Summation (Σx)212
Arithmetic Mean
21.2
Median Value
21.5
Modal Value
22
Std. Deviation
5.2688
Population Variance
27.76
Total Range Spread
18
Frequency Distribution
Dataset visualization across unique values
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Share your exact result or embed this tool.
Solution Methodology
01
Select Distribution
Choose Binomial, Poisson, or Normal distribution.
02
Input Parameters
Enter the necessary parameters like trials (n), probability (p), or mean (μ).
03
Calculate Probability
Evaluate the specific Probability Mass or Density Function.
Common Questions
When should I use the binomial distribution?
Use the binomial distribution when you have a fixed number of independent trials, each trial has only two possible outcomes (success or failure), and the probability of success is constant across all trials (e.g., flipping a coin 10 times).
What is the Poisson distribution used for?
The Poisson distribution is used to model the number of times an event occurs within a fixed interval of time or space, given a known average rate of occurrence, and assuming events occur independently of each other.