(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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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