What is the Probability Table Generator?

The Probability Table Generator is a tool that helps users create a probability distribution table from a set of values and their associated probabilities or ratios. By entering the values and their probabilities, the calculator computes the normalized probabilities, mean, variance, and provides a table showing each value, its probability, the contribution to the mean, and the contribution to variance. This is useful for statistics, probability analysis, and understanding the distribution of discrete random variables.

How to Use:

1. Enter Values: Input the dataset as a list of numbers separated by commas, e.g., 1, 2, 3, 4, 5.
2. Enter Probabilities or Ratios: Input the probabilities or ratios corresponding to each value, separated by commas, e.g., 0.1, 0.2, 0.3, 0.25, 0.15. Ensure the number of values matches the number of probabilities.
3. Click “Generate Table”: The calculator normalizes probabilities if needed, then computes the mean and variance.
4. Review Result: The output shows the sum of probabilities, mean (μ), variance (σ²), and a probability table displaying each value, its probability, x × P(x), and (x − μ)² × P(x) for detailed analysis.