# Sports teams can have long streaks of winning (or losing) seasons, but occasionally a team’s…

Sports teams can have long streaks of winning (or losing) seasons, but occasionally a team’s…
Sports teams can have long streaks of winning (or losing) seasons, but occasionally a team’s fortunes change quickly. Suppose that each team in the population of all college football teams can be classified as (1) weak, (2) medium, or (3) strong, and that the following one-step transition probabilities apply to the Markov chain Xn = a team’s strength n seasons from now: (a) If a college football team is weak this season, what is the minimum number of seasons required for it to become strong? (b) If a team is strong this season, what is the probability it will also be strong four seasons from now? (c) What is the average number of seasons that must pass for a weak team to become a strong team? (d) What is the average number of seasons that must pass for a strong team to become a weak team? Apr 08 2022 03:26 PM

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