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2. A Markov chain with state space {1, 2, 3} has transition probability matrix 0.0 0.3 0.1 [0\": 0.3 0.3 0.4 0.4 0.1 0.5 (a) Is this Markov chain irreducible? Is the Markov chain recurrent or transient? Explain your answers. (1)) What is the period of state 1? Hence deduce the period of the remaining states. Does this Markov chain have a limiting distribution? (0) Consider a general three-state Markov chain with transition matrix P11 P12 P13 1? = P21 332-2 1023 P31 P32 P33 Give an example of a specic set of probabilities PM for which the Markov chain is not irreducible (there is no single right answer to this, of course !). A Sampling Distribution for Statistics Graduate Programs The dataset StatisticsPhD gives enrollment for all 82 graduate statistics programs in the US in 2009. Use Statkey or other technology to generate a sampling distribution of sample means using a sample size of n = 10 from the values in this dataset. Click here for the dataset associated with this question. Click here to access StotKey. (a) What shape does the distribution have? Skewed to the left O Skewed to the right O Symmetric and bell-shaped Symmetric but not bell-shaped O None of these (b) Approximately where is the sampling distribution centered? Round your answer to two decimal places. Center i (c) What is the standard error? Round your answer to one decimal place. Standard error = iD Question 9 2 Identify whether the statement describes inferential statistics or descriptive statistics: There is a relationship between ignoring the quarantine and getting a Covid 19. O Descriptive statistics O Inferential statistics D Question 10 2 Identify whether the statement describes inferential statistics or descriptive statistics: The average class size in the college is 32 students. O Inferential statistics Descriptive statisticsDD Question 3 2 pts 3. The purpose of financial statements contained in annual reports is to: () acommunicate information about the financial health of a company to external users. O assist internal managers in making pricing decisions. O both communicate information about the financial health of a company to external users and assist internal managers in making pricing decisions. O neither communicate information about the financial health of a company to external users nor assist internal managers in making pricing decisions