Lectures - 8.1 States, Transition Diagrams & Matrices

Quiz 8.1 #1

The cafeteria at Peter's school serves pizza and hot dogs on Tuesdays. If Peter had pizza last week, he will be twice as likely to have a hot dog than pizza next week. If he had a hot dog, he will be equally likely to have a hot dog as he is a pizza next week. Let state 1 be having pizza and state 2 be having a hot dog. Find the Markov transition matrix for this process.

Quiz 8.1 #2

Peter's transition matrix:

transition matrix

With state 1 being pizza and state 2 being hot dog, what is the probability that he will eat pizza this week given that he ate hot dog 2 weeks ago?