Give a concrete meaning to $m = \lim_{n \rightarrow +\infty} \frac{1}{n} E(S_n)$ in relation to the industrial process studied and interpret the inequality $P\left(S_n \geqslant nam\right) \leqslant \mathrm{e}^{-n(\lambda^*(am) - \varepsilon)}$. One may establish an intuitive link with the law of large numbers.