Analyze probability distributions online. Calculate PDF/PMF, CDF, means, variances, and range probabilities for Normal, Binomial, Poisson, and Exponential models.
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How to Use Probability Distribution Calculator
Select the distribution: Normal, Binomial, Poisson, or Exponential.
Set X boundaries (e.g. X <= x, or a <= X <= b) to calculate range probability.
Examine the PDF curve plot showing standard bounds.
Statistical Distributions in Practice
Continuous and discrete probability distributions describe variations in nature and systems, supporting safety factors design, failure rates, and quality assurances.
Frequently Asked Questions
What is the Poisson distribution used for?
Poisson models discrete counts of events occurring within fixed intervals, e.g. customer phone calls per hour or website visits per minute.