Question: For the DBN specified in Exercise 15.13 and for the evidence values e 1 = not red eyes, not sleeping in class e 2 =

For the DBN specified in Exercise 15.13 and for the evidence values

e1 = not red eyes, not sleeping in class

e2 = red eyes, not sleeping in class

e3 = red eyes, sleeping in class

perform the following computations:

a. State estimation: Compute P(EnoughSleept|e1:t) for each of t = 1, 2, 3.

b. Smoothing: Compute P(EnoughSleept|e1:3) for each of t = 1, 2, 3.

c. Compare the filtered and smoothed probabilities for t = 1 and t = 2.

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