✓ Effortless Math · Free Tool

Expected Value Calculator

Compute E(X) = Σ x·P(x) from a probability distribution — plus the variance and standard deviation — with a table and step-by-step working.

E(X) = Σ x · P(x)
values (x) probabilities P(x)

Enter the outcomes and their probabilities (comma-separated, same count). Fractions like 1/6 are allowed; probabilities should sum to 1.

Results

Expected value E(X)
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E(X) = Σ x·P(x)
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Variance
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Std. deviation
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Sum of probabilities
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Distribution

Step-by-step