In this problem we consider a shared-ride van service (e.g., SuperShuttle, though the problem descrip- tion here doesn’t quite describe what SuperShuttle does) which provides rides from an airport into a city. Suppose that the service takes passengers to N different hotels or other possible destinations in the city.(a) If the number of passengers showing up for a given van is P ∼ Binomial(12, p), and each passenger independently selects one of the N destinations, what is the expected number of stops that the van will make? Find numerical values for N = 10 and p = 0.75, and N = 6 and p = 0.85. (b) Supposing, slightly irrationally, that the number of passengers is instead a Poisson random vari- able with mean 5, what is the expected number of stops?
In this problem we consider a shared-ride van service (e.g., SuperShuttle, though the problem descrip- tion...
Problem 5 Say that you operate an airport shuttle service from Will Rogers World Airport in Oklahoma City to Norman. The shuttle can accommodate up to four passengers on any one trip from the airport to Norman. Your service will accept a maximum of six reservations for a trip, and a passenger must make a reservation to take the shuttle. Based on trip history, 20% of those making reservations do not appear for the trip. Assume independence in the following...