I remember once we were at three outages, someone posted that they thought three was a reasonably-sized random cluster given the rate at which services go down. How many outages have we had in the last 30 days, how many do we have per month on average, and how strongly can we reject the null hypothesis?

The formula for computing how unlikely this is is the Poisson distribution: `λ^k * e^-λ / k!`, where λ is the average number of outages every 30 days and k is the number of outages in the past 30 days. If you find the numbers, let me know what the answer is.