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2. Consider the following Markov models: a. Is state 2 in Figure 1 periodic or aperiodic? If it is periodic what is the state period? If it is aperiodic, provide your reasoning. b. Is state 2 in Figure 2 periodic or aperiodic? If it is periodic what is the state period? If it is aperiodic, provide your reasoning.

a. In Figure 1, to determine whether state 2 is periodic or aperiodic, we need to examine the cycle lengths of all possible paths starting and ending at state 2.

Let's analyze the paths from state 2: 2 -> 3 -> 2: This forms a cycle of length 2. 2 -> 0 -> 1 -> 3 -> 2: This forms a cycle of length 4.