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

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.