15. According to the Ontario legislation, passengers aged 13 or older can travel

Question

15. According to the Ontario legislation, passengers aged 13 or older can travel in the front seat of a motor vehicle. The following table gives the extent of injuries and the passenger position for 1000 accidents. Extent of injury Front Seat Back Seat 188 232 102 None Minor Major Death Total 70 295 85 45 Based on these data, what is the probability of a passenger dying in a motor vehicle accident, given that the passenger was traveling in the front seat? Is the event of death independent of the event of sitting in front? A) 0.042; yes B) 0.152; yes C) 0.050; no D) 0.042; no E) 0.152; no.

Explanation / Answer

P(Dying gave that traveling in the front seat) = P(dying on front seat)/P(total on front seat) = 23/545 = 0.042

P(death)=28/1000=0.028

P(seating on the front seat)= 545/1000=0.545

P(death and front seat) = 23/1000 =0.023

P(death)*P(front seat)= 0.028*0.545= 0.01526 (not equal to the p (death and front seat)

Then, these two events are not independent.

So option D is correct

0.042, No

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