Question variant: 900e3929) Consider the following configuration tree for a given Probabilistic Turing Machine M on a given input word w: (greject , U, aba) (Gaccept, a, aa) 0.5 (q1, U, Uaba) (q1, U, aaa) (qaccept, U, LUbaa) 0.5 0.33 0.33 (qaccept, aaa, U) 0.75 (q1, U, bba) 0.67 (1, a, ba) 0.67 (Ф2, а, а) 0.25 (greject, 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.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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:
(greject , U, aba)
Gaccept, a, aa)
0.5
(q1, U, Uaba)
(q1, U, аaa)
(qaccept, U, Ubaa)
0.5
0.33
0.33
(gaccept, aaa, LU)
0.75
(91, U, bba)
0.67
+ (, a, ba)
0.67
(42, aa, a)
0.25
(dre
ct, 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.
Transcribed Image Text:(Question variant: 900e3929) Consider the following configuration tree for a given Probabilistic Turing Machine M on a given input word w: (greject , U, aba) Gaccept, a, aa) 0.5 (q1, U, Uaba) (q1, U, аaa) (qaccept, U, Ubaa) 0.5 0.33 0.33 (gaccept, aaa, LU) 0.75 (91, U, bba) 0.67 + (, a, ba) 0.67 (42, aa, a) 0.25 (dre ct, 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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