This paper explores the potential of Cooperative Non-Orthogonal Multiple Access (CNOMA) to address the connectivity of cell-edge users in wireless cellular networks by leveraging intra-cell users as relays. These relays retransmit data to cell-edge users, thereby enhancing signal strength through selection diversity. The statistical analysis of connectivity is a critical aspect of understanding the Quality of Service (QoS) and overall performance in CNOMA-based networks. However, analyzing the connectivity of cell-edge users within such networks introduces specific challenges. These challenges include the effects of channel fading and the impact of successive interference cancellation (SIC) in relay users. To address these challenges, this paper provides a closed-form expression for the connectivity of a cell-edge user in a CNOMA-based cellular network, assuming Rayleigh fading channels and the probability of successive interference cancellation (SIC) in relay users. The provided closed-form expression for the connectivity probability of the cell-edge user is then evaluated through simulation results, offering insights to extend its effectiveness.