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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 doo
Posted: Mon Sep 06, 2021 7:12 am
by answerhappygod
- 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 Doo 1 (72.11 KiB) Viewed 86 times
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. 1 5 3 4 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 I. 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.)