Expected value, variance and standard deviation of continuous random variables, including uniform and triangular

What this note covers

1. Expected value weights locations by density
2. Second moment, variance and standard deviation
3. Uniform distributions over an interval
4. Triangular densities and piecewise moments
5. Linear changes of scale and origin
6. Comparing spread with practical thresholds
7. A full moment calculation for a triangular density
8. Checking moments, transformations and tolerances

8 sections · 10 key terms & formulas · 6 common mistakes