Answer:
0.8675
Step-by-step explanation:
Given that people ages 16-30 make up 15% of drivers on the road, 80% of drivers are aged 31-64, and 5% of drivers are aged 65+.
Furthermore, suppose drivers in each age range cause car accidents at the rates of 6%, 4%, and 9%, respectively.
age 16-30 31-64 >65
Prob 0.15 0.8 0.05 1
Prob for accidents 0.06 0.09 0.04
Product 0.009 0.072 0.002 0.083
Prob for 31-64 causing it/accident =
Using Bayes theorem we got answer as 0.8675