Probability Calculator
Calculate exact probabilities for normal, binomial, and Poisson distributions. Determine the likelihood of events and visualize probability density/mass functions.
Step 1: Distribution Parameters
Understanding Probability
Choose a distribution and set its parameters. Then define your query (less than, between, etc.) to compute the cumulative probability.
Step 2: Probability Query
1.00
Query types
For discrete distributions (binomial, Poisson) the “equal” condition gives P(X = x). For continuous, only inequalities are shown.
Probability Results
Summary
Distributions
Breakdown
Computed Probability
0.3413
For Normal(μ=0, σ=1) with X < 1
Probability
0.3413
Condition
X < 1
Mean (μ)
0
Std dev / (n·p)
1
Common Distribution Properties
| Distribution | Mean | Variance | Support |
|---|
Distribution Shape (PMF/PDF)
Probability formula
Normal: P(X < x) = Φ((x-μ)/σ)
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