Question

The following table is classifying auto accidents by survival status (S= Survived, D= died) and seat belt status of the individual involved in the accident.

Belt	S	D	Total
Yes	412,368	510	412,878
No	162,527	1,601	164,128
Total	574,895	2,111	577,006

a. Estimate the probability that the individual died (D) in the auto accident

b. Estimate the probability that the individual died given the person wore a seat 5

c. Estimate the probability that the individual died given the person did not wear a seat

d. Are the event of dying and wearing a seat belt independent? Justify your response

Answer 1

a)

P( individual died (D) in the auto accident) =2111/577006 =0.003659

b)

probability that the individual died given the person wore a seat belt =510/412878 =0.001235

c)

probability that the individual died given the person did not wear a seat belt =1601/164128=0.009755

d)

No since P(die) is not equal to P(Die|seat belt) or P(Die |no seat belt)

this indicate that   probability that the individual died depeds on status of wearing or not wearing the seat belt