The members of a consulting firm rent cars from three rental agencies. It is estimated that percent of cars come from agency 1, percent of cars come from agency 2, and percent of cars come from agency 3. It is also estimated that percent of cars from agency 1 need a tune-up, percent of cars from agency 2 need a tune-up, and percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.

(a) What is the probability that a rental car delivered to the firm will need a tune-up?

(b) If a rental car delivered to the firm needs a tune-up, what is the probability that it came from agency 2?