10. (5 + 5 + 5 + 5 pts) 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 levelJob satisfaction levelTotal

Very dissatisfied

(0)Dissatisfied

(1)Indifferent

(2)Satisfied

(3)Very satisfied

(4)

Less than high school0.0510.1170.020.0110.0010.20

High school graduate0.0190.0350.2380.0880.070.45

College graduate 0.0260.0380.1250.1010.060.35

Total0.0960.190.3830.200.131

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?