With the recent developments in wireless communications, to achieve secure communications among sensor nodes in a Wireless Sensor Network (WSN), the research community has to resolve different technical issues like design and development of efficient node deployment and key distribution schemes. As the sensors are the resource constrained and vulnerable nodes, and are often deployed in hostile environments, an adversary may physically capture and compromise some of the nodes. Hence, deployment of nodes and key distribution are remained as challenging and basic issues to be addressed as they can influence the network performance metrics. Many schemes have been proposed in recent years for sensor node deployment and for key distribution. In this paper, we investigate a secure key distribution mechanism, such as Identity Based Random key Distribution scheme, for the two simple node deployment strategies, namely, Random and Grid. We first evaluate the key distribution protocol, and then we provide a comparative study that shows the improvements in the probabilistic prediction of the network performance resulting from inclusion of the two deployment schemes with the examined technique. We also show the simulation of deployment schemes of WSN using Network Simulator 2.34 with Mannasim.