1 every time that the team wins a game it wins its next, Ask an Expert

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1. Every time that the team wins a game, it wins its next game with probability 0.8; every time it loses a game, it wins its next game with probability 0.3. If the team wins a game, then it has dinner together with probability 0.7, whereas if the team loses then it has dinner together with probability 0.2. What proportion of games result in a team dinner?

2. An organization has N employees where N is a large number. Each employee has one of three possible job classi?cations and changes classi?cations (independently) according to a Markov chain with transition probabilities

?0.7	0.2	0.1?
?0.2	0.6	0.2?
0.1	0.4	0.5

What percentage of employees are in each classi?cation?

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Statistics and Probability, Statistics

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