Suppose that a particular student shows up with red eyes and sleeps in class every day. Given

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Suppose that a particular student shows up with red eyes and sleeps in class every day. Given the model described in Exercise 14.SLEP, explain why the probability that the student had enough sleep the previous night converges to a fixed point rather than continuing to go down as we gather more days of evidence. What is the fixed point? Answer this both numerically (by computation) and analytically.

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