Abstract: To overcome the limitation of mobility models for the closed-form analysis of capacity and delay in mobile ad hoc networks, the paper introduces a new probability theoretical framework in order to extend a memory-less independent and identically distributed mobility model to a more realistic random waypoint mobility model with certain memory, which solves a series of complex probabilistic problems caused by the way of local move in the random waypoint mobility model. The two-hop relay algorithm with packet redundancy is also investigated and then the accurate closed-form expressions of capacity and delay are obtained. Simulation results demonstrate the efficiency of the proposed probability theoretical framework and prove the accuracy of the closed-form theoretical expressions.