Consider the Set of Strings on {0,1} in Which, Every

question 9

Multiple Choice

Consider the set of strings on {0,1} in which, every substring of 3 symbols has at most two zeros. For examples, 001110 and 011001 are in the language, but 100010 is not. All strings of length less than 3 are also in the language. A partially completed DFA that accepts this language is shown below. The missing arcs in the DFA are

• A) \(\begin{array}{|c|c|c|c|c|c|} \hline & 00 & 01 & 10 & 11 & Q \\ \hline 00 & 1 & 0 & & & \\ \hline 01 & & & & 1 & \\ \hline 10 & 0 & & & & \\ \hline 11 & & & 0 & & \\ \hline \end{array}\)
• B) \(\begin{array}{|c|c|c|c|c|c|} \hline & 00 & 01 & 10 & 11 & \mathrm{Q} \\ \hline 00 & & 0 & & & 1 \\ \hline 01 & & 1 & & & \\ \hline 10 & & & & 0 & \\ \hline 11 & & 0 & & & \\ \hline \end{array}\)
• C) \(\begin{array}{|c|c|c|c|c|c|} \hline & 00 & 01 & 10 & 11 & \mathrm{Q} \\ \hline 00 & & 1 & & & 0 \\ \hline 01 & & 1 & & & \\ \hline 10 & & & 0 & & \\ \hline 11 & & 0 & & & \\ \hline \end{array}\)
• D) \(\begin{array}{|c|c|c|c|c|c|} \hline & 00 & 01 & 10 & 11 & \mathrm{Q} \\ \hline 00 & & 1 & & & 0 \\ \hline 01 & & & & 1 & \\ \hline 10 & 0 & & & & \\ \hline 11 & & & 0 & & \\ \hline \end{array}\)

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Definitions:

Transfer of Learning

The application of skills, knowledge, or understanding acquired in one context to another context.

Research Question

A question that a research project aims to answer, guiding the methodology and analysis of the study.

Significance Level

The criterion used for rejecting the null hypothesis, representing the probability of committing a Type I error.

Critical Value

A critical value is a point on the distribution of a statistical test that marks the boundary of the rejection area for the null hypothesis, aiding in decision making regarding statistical significance.