As the number of registered vehicles for the company is not large enough to accommodate all requests, the company re-directs 1/4 of requests to a third party (e.g., taxi) and only accepts 3/4 of the requests. Calculate the mean interarrival time between accepted requests in minutes. Show your work.

_____ subjects about the true purpose of a lab experiment following its conclusion is important for the ethical treatment of the subjects.

What is the hourly arrival rate to station A? 

Section E (Questions 15 ~ 18): A Ridepool driver has a car for a total capacity of 3 passengers and Ridepool customers send requests in a group of 1 or 2 passengers. Assume that this is the only Ridepool driver available in the area. To analyze the performance of her business, the driver models it as a CTMC with X(t) = (n1, n2) where n1 = the number of requests of a group size 1 that are accepted and currently being served and n2 =the number of requests of a group size 2 that are accepted and currently being served. Then its rate diagram is given below:    All rates in the diagram are hourly rates. The stationary distribution of the CTMC is given below: 

You are conducting a test marketing study in Tulsa, Oklahoma when your competitor introduces a 15% price cut in order to blunt the effects of your study.  A _____ effect has occurred during your test marketing study.

Now suppose that the arrival of Ride-X requests can be modeled as a non-homogeneous Poisson process. The arrival rate from 8 am to 5 pm is studied for many days. The following graph shows hourly arrival rates from 8 am to 5 pm.     We want to find the probability that the company receives less than 5 Ride-X requests from 8 am to 5 pm and the probability is 

Give the values of (i), (ii), and (iii) in the generator matrix.  (i) = ; (ii) = ; (iii) = . 

Calculate the utilization of a server at station A. 

Using the stationary distribution, calculate the long-run average number of passengers (not requests) in the car. 

_____ is the process of describing some property of a phenomenon, usually by assigning numbers, in a reliable and valid way.