In: Statistics and Probability
The members of a consulting firm rent cars from three rental
agencies. It is estimated that 0.39 percent of cars come from
agency 1, 0.08 percent of cars come from agency 2, and 0.53 percent
of cars come from agency 3. It is also estimated that 0.07 percent
of cars from agency 1 need a tune-up, 0.05 percent of cars from
agency 2 need a tune-up, and 0.03 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?