Question

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

Answer 1