  We present analytical and numerical results regarding the magnetization full
counting statistics (FCS) of a subsystem in the ground-state of the
Haldane-Shastry chain. Exact Pfaffian expressions are derived for the cumulant
generating function, as well as any observable diagonal in the spin basis. In
the limit of large systems, the scaling of the FCS is found to be in agreement
with the Luttinger liquid theory. The same techniques are also applied to
inhomogeneous deformations of the chain. This introduces a certain amount of
disorder in the system; however we show numerically that this is not sufficient
to flow to the random singlet phase, that corresponds to $XXZ$ chains with
uncorrelated bond disorder.
