Question: A study of job satisfaction was conducted for four occupations: cabinetmaker, lawyer, physical therapist and systems analyst. Job satisfaction was measured on a scale of 0-100. The data obtained are summarized in the following crosstabulation.

Under

Occupation 50 50-59 60-69 70-79 80-89

Cabinetmaker 0 2 4 3 1

Lawyer 6 2 1 1 0

Physical therapist 0 5 2 1 2

Systems analyst 2 1 4 3 0

1. Develop a joint probability table.
2. What is the probability a randomly chosen participant has a satisfaction score in the 80’s?
3. What is the probability of a satisfaction score in the 80’s given the study participant was a physical therapist?
4. What is the probability a randomly chosen participant is a lawyer?
5. What is the probability a randomly chosen participant is a lawyer and received a score under 50?
6. What is the probability of a satisfaction score under 50 given a person is a lawyer?
7. What is the probability of a satisfaction score of 70 or higher?

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