The present description proposes a user equipment for processing data related to contention-based random access in a wireless communication system. The present description proposes to separately handle random access related parameters according to access type of a user equipment. Examples of the access type include normal access and delay tolerant access. In detail, a system information block indicating a first maximum number of preamble transmission applicable to a first type UE performing normal access and a second maximum number of preamble transmission applicable to a second type UE performing delay tolerant access is proposed. Further, back-off interval information used to indicate first type back-off interval information applicable to the first type UE and second type back-off interval information applicable to the second type UE is proposed.