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Joint probability distribution

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The U.S. Bureau of Labor Statistics collected data on the occupations of workers 25 to 64 years old. The following table shows the number of male and female workers (in millions) in each occupation category (Statistical Abstract of the United States: 2002)

(see chart in the attached file)

a. Develop a joint probability table
b. Determine the probability of a female worker being a manager or professional.
c. Determine the probability of a male worker being in precision production.
d. Determine if occupation is independent of gender. Justify the answer with a probability calculation

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