... follow Newtonian mechanics,< /b> but as an ensemble of micro-scopic states with probabilities that depend on the macroscopic state,Gibbs and < /b> Boltzmann set the foundation of statistical < /b> thermodynamics,< /b> which ... variable, and< /b> E(g(x)) =g(x)=g(x) (x) dx (2.18)for the case of a continuous random variable.2.1.4 Moments of probability distributionsProbability distributions can be described by their ... the jointprobability and < /b> is denoted by P(E1, E2).3. Two events E1 and < /b> E2, with probabilities P(E1)andP(E2), respec-tively, are called mutually exclusive, when the probability that...