Izmir University of Economics students evaluate the social services in school by a questionnaire within three rating categories (A, B, and C). Suppose that in the past year, of the questionnaires on social service issues throughout the university, 70% were rated A, 20% were rated B, and 10% were rated C. Of the questionnaires rated A, 60% were answered by the engineering students, 30% by students from business faculty, and 10% by fine arts students. Of the questionnaires rated B, 70% were answered by engineering students, 10% by students from business faculty, and 20% by fine arts students. Of the questionnaires rated C, 80% were answered by engineering students, 15% by students from business faculty, and 5% by fine arts students. Complete (a) through (c) below. a. If a new questionnaire is answered by an engineering student, what is the probability that it will receive an A rating? (Round to three decimal places as needed.) b. What proportion of questionnaires are answered by engineering students? (Round to three decimal places as needed.) c. What proportion of questionnaires are answered by students from faculty of business? (Round to three decimal places as needed.)