Shuttles bound for boston depart from new york every hour on the hour (e. g., at exactly one o"clock, two o'clock, passengers arrive at the departure gate in new york according to a poisson process with rate λ per hour. what is the expected number of passengers on any given shuttle? (assume that everyone who arrives between two successive shuttle departures boards the shuttle immediately following his/her arrival. that is, shuttles are big enough to accommodate all arriving passengers.)