The California Department of Labor surveyed the relationship between gender and the occupation. The table below shows the number of female and male workers in each occupational category.
Occupation |
Females |
Males |
Business |
1300 |
1100 |
IT |
600 |
1400 |
Legal service |
2100 |
900 |
Manufacturing |
750 |
850 |
Hospitality |
600 |
900 |
Farming |
650 |
850 |
Total |
6000 |
6000 |
a) Develop a joint probability table.
b) Given that a worker is a male, what is the probability that he works in hospitality?
c) Given that a worker is a female, what is the probability that she works in legal services?
d) Is occupation independent of gender? Justify your answer with a probability calculation
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