Expected Value Calculator
Verified Calculation Engine
The online Expected Value Calculator helps you calculate instantly and solve problems related to Probability Advanced. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Calculates expected value (mean) of random variable: E(X) = Σ x·P(X = x) for discrete, E(X) = ∫ x·f(x)dx for continuous.
Expected value (mean):
E(X) = Σ xᵢ·P(X = xᵢ)
For continuous: E(X) = ∫ x·f(x)dx
Expected value is weighted average of values
Expected value is mean of random variable
Inputs
Results
Worked Examples
Example 1: Basic
Find expected value for X with values [0, 1, 2] and probabilities [0.25, 0.5, 0.25]
- values: [ 0, 1, 2 ]
- probabilities: [ 0.25, 0.5, 0.25 ]
- expectedValue: 1
- calculation: 0×0.25 + 1×0.5 + 2×0.25 = 1
Example 2: Board Level
Find expected value for die roll
- values: [ 1, 2, 3, 4, 5, 6 ]
- probabilities: [ 0.1667, 0.1667, 0.1667, 0.1667, 0.1667, 0.1667 ]
- expectedValue: 3.5
- calculation: (1+2+3+4+5+6)/6 = 3.5
About this calculator
Overview
Expected Value Calculator evaluates Expected Value for the engineering-math / probability-random-variables library. Primary input cue: Numeric field `input1` (required). Method anchor: Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for.
When to use
Reach for Expected Value Calculator to compare scenarios by changing one input at a time for expected value.
Inputs explained
- Numeric field `input1` (required)
- Numeric field `input2` (optional)
Formula / method
Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for the distribution or sample inputs this calculator accepts. This page targets specifically: Expected Value (expected value) (calculator id: expected-value-calculator).
Worked example
Example path for Expected Value: set input1 = 8, input2 = 3. Then compare the on-page result with a hand calculation using: Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for the distribution or sample inputs this calculator accepts. This page targets specifically: Expected Value (expected value)..
Interpreting results
If expected value looks implausible, re-check units and which field is optional vs required.
Assumptions
- Inputs for `expected-value-calculator` follow the on-page labels; values/shapes must match this operation.
- Units (when shown) must be consistent across inputs for expected value.
- Matrix/vector shapes must match the operation implied by expected value.
Limitations
- Expected Value Calculator cannot invent missing inputs; incomplete forms stop short of a forged expected value value.
- Display rounding can differ slightly from a CAS/symbolic exact form of expected value.
- Ill-conditioned inputs can magnify error in expected value far beyond display precision.
Important note
Educational engineering-mathematics tool. Verify critical designs with hand analysis or certified software.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for the distribution or sample inputs this calculator accepts. This page targets specifically: Expected Value (expected value) (calculator id: expected-value-calculator).
Example Calculation
Example path for Expected Value: set input1 = 8, input2 = 3. Then compare the on-page result with a hand calculation using: Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for the distribution or sample inputs this calculator accepts. This page targets specifically: Expected Value (expected value)..
Frequently Asked Questions
What is Expected Value Calculator?
- Expected Value Calculator evaluates Expected Value for the engineering-math / probability-random-variables library. Primary input cue: Numeric field `input1` (required). Method anchor: Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for.
How does Expected Value Calculator work?
- Probability/statistics formula evaluation for Expected Value.. Probability/statistics formulas (mean, variance, common PMF/PDF models, regression) evaluated for the distribution or sample inputs this calculator accepts. This page targets specifically: Expected Value (expected value) (calculator id: expected-value-calculator).
Why use this Math Numbers calculator?
- Reach for Expected Value Calculator to compare scenarios by changing one input at a time for expected value.