Arrivals at a walk-in optometry department in a shopping center have been found to be Poisson distributed with a mean of 2.5 potential customers arriving per hour. Assuming that the Poisson distribution is reasonable for this situation, where X is the number of arrivals during a given hour, calculate the probability of:
i) At least 2 customers in a given hour?
ii) Exactly 8 customers between 2 pm and 6 pm?
(Note: round your numbers to 4 decimal places)