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(Question variant: 900e3929) Consider the following configuration tree for a given Probabilistic Turing Machine M on a given input word w. (qreject, U, aba) 1

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(Question variant: 900e3929) Consider the following configuration tree for a given Probabilistic Turing Machine M on a given input word w. (qreject, U, aba) 1 (9accept, a, aa) 0.5 (q1, U, Waba) (q1, U, aaa) 0.5 (qaccept, U, Ubaa) 0.33 0.33 (9accept, aaa, L) 0.75 (q1, U, bba) 0.67 (41, a, ba) 0.67 (92, aa, a) 0.25 (qreject, a, ab) . What is the probability that M accepts w, i.e. what is Prob( M(w) = 1)? . What is the expected termination time for M on input w, i.e. what is E[TM(w)]? Write you answers as a decimal, correct to 4 decimal places

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