If Xo = 1, what is the probability that in exactly two steps after starting (i.e., at n -2) the state is 2 for the FIRST TIME? !!

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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Let (Xp: n - 0, 1, 2, .) be a Markov chain with two states 1, 2 with the following one-step transition probability matrix P.
state
2
3/4
1/2
1/4
1/2
If Xg = 1, what is the probability that in exactly two steps after starting (i.e., at n-2) the state is 2 for the FIRST TIME?
1/8
O none of the other choices
O 3/16
O 1/4
1.
2.
Transcribed Image Text:Let (Xp: n - 0, 1, 2, .) be a Markov chain with two states 1, 2 with the following one-step transition probability matrix P. state 2 3/4 1/2 1/4 1/2 If Xg = 1, what is the probability that in exactly two steps after starting (i.e., at n-2) the state is 2 for the FIRST TIME? 1/8 O none of the other choices O 3/16 O 1/4 1. 2.
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