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Question 1) (30 p.) A mouse runs through the maze shown below. At each step it leaves the room it is in by choosing at r
Posted: Mon Sep 06, 2021 7:11 am
by answerhappygod
- Question 1 30 P A Mouse Runs Through The Maze Shown Below At Each Step It Leaves The Room It Is In By Choosing At R 1 (30.52 KiB) Viewed 107 times
Question 1) (30 p.) A mouse runs through the maze shown below. At each step it leaves the room it is in by choosing at random one of the doors out of the room. a) Give the transition matrix P for this Markov chain. (6 p.) b) Find the stationary probabilities of each stage. (10 p.) c) Now suppose that a piece of cheese is placed on a deadly trap in Room 5. The mouse starts in Room 1. Find the expected number of steps before reaching Room 5 for the first time, starting in Room 1. (4 p.) d) Find the expected time to return to Room 1. (10 p.)