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Items 1 ~ 4 use the following scenario : Data were collected on gender and happiness levels of a sample of students. A student is

Items 1 ~ 4 use the following scenario: Data were collected on gender and happiness levels of a sample of students. A student is selected randomly from the sample summarized in the table. Label the item numbers.

Very Happy

Pretty Happy

Not too Happy

Total

Male

42

51

12

105

Female

38

36

10

84

Total

80

87

22

189

  1. Find the probability that the person is very happy or pretty happy. Show how you get the probability.
  2. Find the probability that the person is female and not too happy. Show how you get the probability.
  3. Find the probability of a pretty happy male. Show how you get the probability.
  4. Consider these two events: selecting a female and selecting someone who is very happy. Are these two events mutually exclusive? Why or why not?

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