A study was conducted on the effect of helmet use and the risk of head injuries

Question

A study was conducted on the effect of helmet use and the risk of head injuries in Alpine skiers and snowboarders. The results of the study are as follows: 21% of the Alpine skiers and snowboarders wore helmets. 16% of the Alpine skiers and snowboarders suffered a head injury. 14% of those that wore a helmet suffered a head injury. Based on the results of the study, is the event of wearing a helmet independent of suffering a head injury? No, since0.21 times 0.16 is not equal to 0.14 No, since 0.16 is not equal to 0.14 Yes, since 0.21 times 0.16 is not equal to 0.14 Yes, since 0.16 is not equal to 0.14

Explanation / Answer

Given that P(A) =.21

P(B) = .16

P( A and B) = .14

For two events to independent the following must be true

p(A) * p(B) = P(A and B)

In the above case , this is not ture hence answer is A

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