Problem 1: The local branch of your preferred bank is interested in expanding its capacity but wants to study its demand before finalizing any plans. After analysing historical data, you have determined that the time between customer arrivals follows an exponential distribution with mean 2 minutes. The bank opens at 8:00 a.m. a What is the probability that less than 10 customers arrive from opening until 8:20 a.m.? b) What is the probability that at least 6 customers arrive between 3:00 p.m. and 3:15 p.m., if 12 customers arrived between 2:30 p.m. and 3:30 p.m