1. The problem statement, all variables and given/known data An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year. a). How many loads can be expected to occur during a 4-year period? b). What is the probability that more than 13 loads occur during a 4-year period? c). How long must a time period be so that the probability of no loads occurring during that period is at most 0.3? 2. Relevant equations 3. The attempt at a solution I tried setting up the equation as a Poisson probability distribution for a). as (e^(-0.4)*0.4^(4)) / (4!) but I wasn't sure if this was correct. I couldn't move on to b or c without knowing a. If anyone could help give me some direction with good details that would be appreciated! I want to be able to learn the material and reasoning, not simply obtain the answer. Also, I apologize if this is not in the right category. I didn't see any homework-related sub-forums for probability and stats. Thanks in advance!