Statistics and Probability
The mathematical frameworks for analyzing random phenomena, quantifying measurement uncertainty, and modeling ensemble behavior in statistical mechanics.
Governing formula
P(A|B) = P(B|A) P(A) / P(B), μ = E[X], σ² = Var(X)
SI unit
Probability (0 to 1)
In depth
Probability quantifies likelihoods of quantum states and thermal configurations. Statistics extracts mean values, variances, and correlations from experimental data ensembles.
Examples in the real world
Maxwell-Boltzmann particle speed distributions and Bayesian data analysis of experimental detector data.