Probability

Random Variable Transformations

Compute E(aX+b) = a·E(X)+b and Var(aX+b) = a²·Var(X) given E(X) and Var(X). See how scaling and shifting transform a distribution.

Live Calculator · Step-by-Step · Probability

Inputs

E(X) — Expected Value of X

Var(X) — Variance of X

a — Scale Factor

b — Shift (constant added)

Result

Enter values and calculate.

Step-by-Step Work

Your explanation will appear here.

Distribution Before and After Transformation

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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