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Linear AlgebraMediumMarkov Chains & Long-Run Behavior

Markov Chains & Long-Run Behavior · Medium problem

A city's recycling pickup is either on schedule or delayed each week. If pickup was on schedule this week, it is on schedule next week with probability 5/65/6 (otherwise delayed); if it was delayed this week, it is on schedule next week with probability 1/31/3 (otherwise delayed again). In the long run, out of the next 6060 weeks, how many would you expect to be delayed?