Consider the DFA, M, given by the state diagram:

3. (10 points) Consider the DFA, M, given by the state diagram: q2 qo The author of this DFA claims that its formal definition is: with 6 given by the table ql q2 q3 q2 q2 q3 g3 q3 q3 a. There are two mistakes in this formal definition. Fix them and write out the corrected formal definition b. True or False The empty string is accepted by this DFA. c. True or False L(M) is infinite. d. True or False If E L(M), the string obtained by flipping bits in r (changing 0 to 1 and 1 to 0) is also in L(M) e. True or False There is string z such that is in L(M) and?R is in L(M) as well. f. True or False There is string z such that z is in L(M) but aR is not in L(M) Justifications aren't required for credit for this question, but it's good practice to think about how you would explain why your answers are correct