A bakery shop opens at 6:00 A.M. Customers arrive at the bakery shop at a Poisson rate of 0.20 customers/minute. Formulate the probability distribution that describes the inter-arrival time. Show your solution. 1. What is the expected time of arrival of the 1st customer? 2. What is the probability that the 1st customer will arrive before 6:03 A.M.? 3. What is the probability that the 1st customer will arrive after 6:05 A.M.? 4. What is the expected time of arrival of the 12th customer? 5. What is the probability that 10 customers will arrive from 6:30 A.M. to 7:00 A.M