Question: Here is the transition matrix for the problem: PLEASE ANSWER THESE QUESTIONS, DO NOT MAKE UP YOUR OWN!!! 1. What is the expected time for

Here is the transition matrix for the problem:

PLEASE ANSWER THESE QUESTIONS, DO NOT MAKE UP YOUR OWN!!!

1. What is the expected time for a player to get major injured for the first time, given he is currently healthy? 2. What is the expected time for a player return to major injured if he is currently major injured?

(50pts) A (very) minor league baseball player has a history of injuries which is limiting his career potential. His status varies between three states: 1 (healthy), 2 (minor injury but able to play), and 3 (major injury preventing competition). 'The team doctor has a bachelor's degree in industrial engineering and concluded that the transitions between states could be modeled using the embedded Markov chain with transition matrix P=0311410043320 Sojourn times in states 1,2 , and 3 are exponentially distributed with rate of 31 per day, 41 per day, and 51 per day , respectively. Let X(t) be the continuous time Markov chain describing the state of the player at time t days. =3345434049385

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