The tajble below displays the results of a study investigating the effectiveness of bicycle safety helmets in preventing head injury. The data consist of a random sample of 793 bicyclists who were involved in bicycle accidents. Head Injury Wearing Helmet Yes No Total Yes 17 218 235 No 130 428 558 Total 147 646 793 Is receiving a head injury independent of wearing a helmet? No - they are dependent because the conditional probability equals the unconditional probability. No - they are dependent because the probability of a head injury given wearing a helmet is not equal to the probability of a head injury. Yes - they are independent because the probability of a head injury given wearing a helmet is not equal to the probability of a head injury. Yes - they are independent because the conditional probability equals the unconditional probability.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The table below displays the results of a study investigating the effectiveness of bicycle safety helmets in
preventing head injury. The data consist of a random sample of 793 bicyclists who were involved in
bicycle accidents.
Head Injury
Wearing Helmet
Yes
No
Total
Yes
17
218
235
No
130
428
558
Total
147
646
793
Is receiving a head injury independent of wearing a helmet?
No - they are dependent because the conditional probability equals the unconditional probability.
No - they are dependent because the probability of a head injury given wearing a helmet is not
equal to the probability of a head injury.
Yes - they are independent because the probability of a head injury given wearing a helmet is not
equal to the probability of a head injury.
Yes - they are independent because the conditional probability equals the unconditional
probability.
aror
Transcribed Image Text:The table below displays the results of a study investigating the effectiveness of bicycle safety helmets in preventing head injury. The data consist of a random sample of 793 bicyclists who were involved in bicycle accidents. Head Injury Wearing Helmet Yes No Total Yes 17 218 235 No 130 428 558 Total 147 646 793 Is receiving a head injury independent of wearing a helmet? No - they are dependent because the conditional probability equals the unconditional probability. No - they are dependent because the probability of a head injury given wearing a helmet is not equal to the probability of a head injury. Yes - they are independent because the probability of a head injury given wearing a helmet is not equal to the probability of a head injury. Yes - they are independent because the conditional probability equals the unconditional probability. aror
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