  In this work we investigate the probability of violation of local realism
under random measurements in parallel with the strength of these violations as
described by resistance to white noise admixture. We address multisetting Bell
scenarios involving up to 7 qubits. As a result, in the first part of this
manuscript we report statistical distributions of a quantity reciprocal to the
critical visibility for various multipartite quantum states subjected to random
measurements. The statistical relevance of different classes of multipartite
tight Bell inequalities violated with random measurements is investigated. We
also introduce the concept of typicality of quantum correlations for pure
states as the probability to generate a nonlocal behaviour with both random
state and measurement. Although this typicality is slightly above 5.3\% for the
CHSH scenario, for a modest increase in the number of involved qubits it
quickly surpasses 99.99\%.
