To go to the math department, a student takes the 49 bus, then the 68, or can decide for each busride to bike instead. At the end of the day, the student makes four trips (two to get to UBC, andtwo to get home using the same route), and decides to plan their next day by picking one of thetrips uniformly at random, and use the alternative way of transport (if it was a bus ride, then thestudent will bike and vice versa). Let X₁, be the number of bus rides made on day n.a. Draw the transition diagram associated with this process.b. Show that the distribution = (1,4, 6, 4, 1) is stationary, and that the process is reversible.What distribution do you recognize here?c. Suppose each bus trip takes 20 minutes and a bike trip 24. In the long run, how much timedoes the student spend on average to get from home to UBC? (justify your answer)d. The student decides to modify their strategy: if all the trips were made using the same mode oftransport, the student takes the bus to UBC and bikes home on the next day. Let Y,, be the numberof bus rides made during the n-th day for the modified process. Draw the transition diagram.e. We assume that a = (1,4,8, 4, 1) is stationary for Y₁. Is the process reversible? Justify.

ANSWER: a. The transition diagram associated with this process is as follows: yaml Copy code 4 -…

Answered: To go to the math department, a student…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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