can someone answer this and show their work please. thanks

Show your work. Solutions with partially correct answer will still receive some points, but correct answers with no work shown will receive no points. Problem 1-Finite State Automata (20 points) Assume that the names of Prime Ministers can come in two forms: "The Honorable Harriet Jones" or "The Right Hon. Harriet Jones". In both cases assume that the words follow the capitalization and spacing pattern shown, but that "Harriet" or "Jones" could be replaced by any first or last name, respectively. a) Design an FSA that will recognize the names of Prime Ministers as mentioned above. (15 points) b) Write your solution to (a) as a regular expression. (5 points)