MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer:0.8675Step-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 =[tex]\frac{0.072}{0.083} \\=0.8675[/tex]Using Bayes theorem we got answer as 0.8675