This section describes the analysis of the likelihood of the node that has been at the sink node of a multi-hop WSNs by studying the effects of a cluster, the distance of the node. And the number of nodes in each cluster gathered that affect the function of probability of distribution nodes (pdf), the sum of the probability function in Danvers inverse cdf, the functionality, reliability. (survivor, s (x)), the result of all the functions that can be analyzed and improved. The reliability of the network (Reliability)