Suppose there are N data centers and each one fails independently with a constant probability p; otherwise, it does not fail. Suppose you analyze a data set and see that n 5 N of the data centers fail; the remaining N it do not fail. P0.1. For each of the four (N, n) combinatious listed below, what is your estimate of the failure probability and \"worst case scenario\" upper bound (at 95%) for this probability? N n estimate of failure probability \"worst case scenario\" upper bound 1 0 ? '? 10 2 ? ? 100 67 ? '? 1000 8 ? ? Estimate the worse case scenario upper bound using a \"Wald approximation\". P02. [Bonus/Required] Rapeat the worst case scenario calculations from the previous question using Wilson Score estimation