Someone tell me if i am thinking about this wrong.
1) .001^k = p[total outage on a given day]
2) 365*0.001^k = p[total outage at least once during the year]
3) we want 365*0.001^k to be less than or equal to 0.001
4) 365*0.001^k = 0.001
5) k=1.8541
// Comments
I believe k should also be an integer because you cannot have a partial connection between the two cities. You either have the connection or you don't.
-Arie Lyles