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2. On a given day, Jeff is either cheerful, so-so, or glum. Given that he is cheerful on a given day, then he will be cheerful the next day with probability 0.6, so-so with probability 0.2, and glum with probability 0.2. Given that he is so-so on a given day, then he will be cheerful the next day with probability 0.3, so-so with probability 0.5, and glum with probability 0.2. Given that he is glum on a given day, then he will be so-so the next day with probability 0.5,and glum with the probability 0.5. Let Xn denote Jeff's mood on the nth day. Show that {Xn: n=0,1,2} is a Markov chain. (a) Give the state transition probability matrix (b) Given that Jeff was so-so on Monday, what is the probability that he will be cheerful on Wednesday and Friday and glum on Sunday? (c) On the long run, what proportion of time is Jeff in each of the 3 moods?
Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size and determine whether there are any significant differences among the three treatment means.
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In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series ..
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Bay Area university enrolled mba students in three cohorts programs:weeknight, Saturday, and distance. Dean Ed Epstein wants to know if there is a difference in the average of the students in the three programs. State null hypothesis
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