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Page 2 of 6 Section 2 of 6 (10 +3 + 3 + 3 = 19 Marks/Points) Question 3 (10 points) The Government wants to

Page 2 of 6

Section 2 of 6 (10 +3 + 3 + 3 = 19 Marks/Points)

Question 3 (10 points)

The Government wants to know whether there is a relationship between people having an Awareness of Climate Change and Gender. Results from the survey are shown in the cross-tabulation shown below:

Awareness

Total

Very Aware

Moderately Aware

Little Awareness

No Awareness

Gender

Male

64

44

39

41

188

Female

82

63

37

15

197

Other

6

3

4

2

15

Total

152

110

80

58

400

From the above table, answer the following probability questions, assuming that we randomly select a person from the 400 people in the sample:

  1. What is the probability that a person is Very Aware of Climate Change?
  2. What is the probability that a person is not Very Aware of Climate Change?
  3. What is the probability that a person is Female and Very Aware of Climate Change?
  4. What is the probability that a person is Female or Very Aware of Climate Change?
  5. What is the probability that a person is Very Aware of Climate Change, given that the person is Female

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