A rat is put into the following maze:moves.3flat1The rat has a probability of 1/4 of starting in any compartment and suppose that therat chooses a passageway at random when it makes a move from one compartmentto another at each time. Let Xn be the compartment occupied by the rat after n2(d) Find the probability that the rat is in compartment 3 after two moves.(e) In the long run, how many times that the rat enters in compartment 4 in 100movements?

The required solution of the questions asked are as in steps below.

Answered: (d) Find the probability that the rat…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(d) Find the probability that the rat is in compartment 3 after two moves. (e) In the long run, how many times that the rat enters in compartment 4 in 100 movements?