Question

2. The number of cars visiting a national park forms a Poisson process with a rate of 15 cars per hour. Each car has k occupants with probability pk given below: p1 = 0.25, p2 = 0.3, p3 = 0.1, p4 = 0.25, p5 = 0.075, p6 = 0.025 Suppose the national park charges $5.00 per vehicle plus $1.50 per occupant as the entry fee. What are the mean and variance of the total fee collected during a 12-hour window?

Answer 1