Some evaluations of Bell's inequality for particles of arbitrary spin

Bell's inequality is applied to a gedanken experiment, where a spin singlet decays into two spin-$s$ particles. This is done by defining dichotomic observables depending on the spin components. The range of settings, for which the inequality is violated by quantum mechanics, is calculated for certain values of $s$. The classical limit is taken and the results are compared to those obtained, by an alternative method, by Mermin.