The number of arriving customers in a day at Subway follows a non-homogeneous Poisson Process with continuously changing rates (t) for hour t [0, 24]. The intensity function is given by (t) = { 0 for t [0, 8), 8t/3 64/3 for t [8, 11), 8 for t [11, 15), 68 4t for t [15, 17), 0 for t [17, 24]. Whats the distribution for the number of arriving customers in the morning (8AM - 12PM)? What are the expected value and variance of this number? Whats the distribution for the number of arriving customers during rush hours (11AM - 3PM)? What are the expected value and variance of this number?