A comprehensive study on automobile accidents collected data regarding the distribution of
vehicles based on their model year and the likelihood of their involvement in accidents. The
study uncovered varying degrees of accident involvement among vehicles from different model
years. Specifically, vehicles from the model years 2018, 2019, and 2020 constituted proportions
of 0.16, 0.18, and 0.20, respectively, among all surveyed vehicles. Correspondingly, the
probabilities of these vehicles being involved in accidents were recorded as 0.05, 0.02, and
0.03, respectively. For vehicles categorized under "Others," which encompassed model years
beyond 2020, the proportion was determined to be 0.46, with an associated accident
involvement probability of 0.04.
(a) Illustrate the above information in table form.
(6 marks)
(b) Hence, determine the probability that an automobile involved in an accident originates
from the model year 2018, given that the accident involves a vehicle from either 2018,
2019, or 2020.