Each day, a manager of a store determines the daily number of customers. The numbers for different days are independent with the same Poisson distribution. Assume that the mean number of customers per day is 36. The manager does not know this, but she/he has data for the last n days, and can compute X̅_n, the average number of customers per day. What must Xn be close to for large n? Inwhat sense? Let n = 100. Estimate the probability that X̅_n falls within 4 from its expected value? What would it mean for the manager?