(a) he is under 21 and has one or more violations during the past 12 months? (b) he is under 21? (c) he has one or more violations during the past 12 months?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2. The following table refers to two properties: age and traffic violations of residents in Gauteng.
Violations during the past 12 months
One or more
Age
None
Under 21
15
25
[21,41)
8.
12
41 or more
30
10
(i) If a Gauteng resident is selected at random, what is the probability that
(a) he is under 21 and has one or more violations during the past 12 months?
(b) he is under 21?
(c) he has one or more violations during the past 12 months?
(ii) Are events “under 21" and "one or more violations during the past 12 months" independent?
(iii) Test at a 5% level of significance if age and traffic violations are independent of each other:
Transcribed Image Text:2. The following table refers to two properties: age and traffic violations of residents in Gauteng. Violations during the past 12 months One or more Age None Under 21 15 25 [21,41) 8. 12 41 or more 30 10 (i) If a Gauteng resident is selected at random, what is the probability that (a) he is under 21 and has one or more violations during the past 12 months? (b) he is under 21? (c) he has one or more violations during the past 12 months? (ii) Are events “under 21" and "one or more violations during the past 12 months" independent? (iii) Test at a 5% level of significance if age and traffic violations are independent of each other:
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