Colleges have been rapidly making broadband Internet service available in their residence halls. Of the colleges that offer no broadband Internet service, each year 10% introduce DSL Internet service, 30% introduce cable Internet service, and 60% continue to offer no broadband Internet service. Once a type of broadband Internet service is established, the type of service is never changed.
(a) Draw the transition diagram for the Markov process.
(b) Set up an absorbing stochastic matrix for the Markov process.
(c) Find the stable matrix. (Round your answers to two decimal places.)
(d) In the long run, what percent of colleges will provide cable Internet service? (Round to the nearest percent.)
(e) What is the expected number of years required for a college to set up a broadband service if it currently does not provide Internet service? (Round your answer to one decimal place.)