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Table Q2 Education High School College University Low 26 18 14 Confidence Medium 32 27 17 High 36 19 11 Question 2. Probability, conditional probability, and independence [50 points] As an Industrial Engineer of one of the big companies, you are interested in the professional confidence level of the workers in the company. You conducted the survey and the results are given in the Table Q2. Table Q2 [See page 2] Answer the following questions using your personally assigned Table Q2. (a) Construct the probability table for this problem. [10 points] (b) What is the probability of a randomly chosen person to be a High School Graduate and have high confidence? [10 points] (c) Given that a randomly chosen person is a college graduate, what is the probability that the person has medium confidence? [10 points] (d) Given that a randomly chosen person has high confidence, what is the probability that he/she is university graduate? [10 points] (e) Explain if the "education" and "confidence" are independent variables. [10 points]