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Please answer this question without using R Problem 3: Markov Chain Process. (20 points) Andy is working as a data analyst intern for a company

Please answer this question without using R

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Problem 3: Markov Chain Process. (20 points) Andy is working as a data analyst intern for a company who is interested in launching a new social media site. He was assigned to monitor 3 social media platforms: Facebook, Instagram 35 Twitter. For a given day, Andy will spend 8 am to 6 pm (10 hours) monitoring these 3 social media platforms for one hour at a time. He will not spend 2 consecutive hours on the same media platform. Since both Facebook 85 Instagram are owned by the same company, if he is monitoring Twitter, for the next hour, he is just as likely to go to Facebook as Instagram. But if he is monitoring Facebook, there is only a 20% chance that he will switch to Instagram in the next hour, but twice that chance if he will monitor Twitter after monitoring Instagram. (5 points each) 1. Set up a diagram to illustrate this Markov Process. (Dene state 1 as Facebook, 2 as Instagram and 3 as Twitter.) 2. Using the transition probabilities stated in the problem, construct the transition probability matrix. 3. If he starts monitoring Instagram, what will be the probability that he will monitor Instagram again in 2 hours? (You could use R for matrix multiplication, but please provide the corresponding code and the matrix). 4. For a given day, if he starts monitoring Facebook at 8am, what is the probability that he will end up monitoring Twitter at the end of the day? (Remember his day ends at 6pm). (Hint: You could use the \"powerP\" function that we created in Lab 5)

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