Let $L=\{\begin{array}{ccc}\text{w}\text{i}\text{n}& \{a,b,& c{\}}^{*}\text{:}|w|\end{array}$ has at least $\{$:$2a^{\text{'}}(s)\}.$

a$.)$ Create a DFA M that accepts L$.$ Create and test your DFA on JFLAP. Copy the DFA

diagram into Homework #$2.$

b$.)$ Test your DFA diagram with the following strings:

a$,$ aa$,$ bbabaa, cbacba, cccc$,$ bb$,$ babbb, ccccaa,

Copy the JFLAP test diagram for your DFA to Homework #$2$