Question
A survey of 10,000 workers gave the following probability table for job satisfaction and workers education level. Job satisfaction level is quantified on a 5
A survey of 10,000 workers gave the following probability table for job satisfaction and workers education level. Job satisfaction level is quantified on a 5 point scale.
Education level | Job satisfaction level | Total | ||||
| Very dissatisfied (0) | Dissatisfied (1) | Indifferent (2) | Satisfied (3) | Very satisfied (4) |
|
Less than high school | 0.051 | 0.117 | 0.02 | 0.011 | 0.001 | 0.20 |
High school graduate | 0.019 | 0.035 | 0.238 | 0.088 | 0.07 | 0.45 |
College graduate | 0.026 | 0.038 | 0.125 | 0.101 | 0.06 | 0.35 |
Total | 0.096 | 0.19 | 0.383 | 0.20 | 0.131 |
|
Use the probabilities to answer the following questions:
a) What is the probability that a worker selected at random will be a high school graduate or above?
b) What is the probability that a worker selected at random is a college graduate and likes his/her job (i.e. will be satisfied or very satisfied)?
c) Given that a workers education level is less than high school what is the probability that his/her job satisfaction level will be at most 2?
d) Are the events College Graduate and Very Satisfied independent events? Why or why not?
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