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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 |
- Find the probability that the person is very happy or pretty happy. Show how you get the probability.
- Find the probability that the person is female and not too happy. Show how you get the probability.
- Find the probability of a pretty happy male. Show how you get the probability.
- 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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