Probability From PDF Calculator
Find the probability that a normal random variable falls between two values using its probability density function.
Compare Your Options And Get Clear Answers
Find the probability that a normal random variable falls between two values using its probability density function.
Probability From PDF Estimator
Enter your numbers below for an instant estimate.
How It Works
Key concepts behind this calculator
Enter Values
Fill in each field with your own numbers.
Calculate
Results update as you change the inputs.
Review
Read the breakdown and the explanation.
Adjust
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Probability Quick Guide
Typical values for reference.
| Range | Probability | Name | Note |
|---|---|---|---|
| Mean +/- 1 sd | 68.3% | One sigma | Rule |
| Mean +/- 2 sd | 95.4% | Two sigma | Rule |
| Mean +/- 3 sd | 99.7% | Three sigma | Rule |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Probability From PDF Calculator FAQ
Answers to common questions about this calculator.
Integrate the density between the two values.
It gives a quick estimate of probability from pdf from the values you enter.
No. It is a planning estimate, so check important figures with a professional or official source.
Yes. Edit any field and the result updates when you calculate.