1. suppose 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. given an accident occurred, what is the probability a driver aged 31-64 caused it? g

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.

age16-3031-64>65  

Prob0.150.80.051

Prob for accidents0.060.090.04  

Product0.0090.0720.0020.083

Prob for 31-64 causing it/accident =

Using Bayes theorem we got answer as 0.8675

the answer is b.)

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