Observations at a certain large company that on average, there is a server outage every 6 months. What is the probability of getting through a year without any server outage at all?
I solved this question as so.
There are 12 months in a year
We are looking for the probability of no outages in a year which is P(0 outages).
Poisson Formula
$12^0$*$e^{-12}$/0!
This is where I get a very small result which I multiply by 100,000
= 6.144... * $10^{-6}$
final result = 0.6144
I am not sure why I am multiplying by 100,000 Its just what makes seance to me which gives a result that could make seance.
Terrible way to go about it but I am struggling to understand how to approach this question?