Question

You want to conduct your own study about the relationship between happiness and annual hours worked....

You want to conduct your own study about the relationship between happiness and annual hours worked. You recruit 12 participants for your study. There are 6 women and 6 men.

1. How many ways could you interview the participants? They will each be interviewed once. [2 marks]

2. What is the probability that you interview the volunteers in alternating gender order? [3 marks] You decide to create a sub-group to investigate the annual hours worked. Your subgroup will contain 8 participants.

3. How many sub-groups could you create? [2 marks] 4. What is the probability that your subgroup has equal representation of women and men? [3 marks]

4.Based on your study you find that 83% of the participants are happy if they work less than 2000 hours a year and 42% of participants are happy if they work over 2000 hours a year. 72% of the participants in your study work less than 2000 hours a year. What is the probability that a participant is happy? [4 marks]

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