Problem
In a multiple nodal network, each node is failed to connect to the server independently. The number of failures is measured per hour.
1. Let X be the number of failed nodes per hour and on average three nodes are failed per hour. What is the appropriate probability distribution to model X?
2. Using (a), find P(X>0).
3. Find P(X=1) per two hours.
4. What is the probability distribution of the time to arrival of the next failure?