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The following joint frequency distribution table shows responses from a sample of 238 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval. Age Group under 25 25 to 40 over 40 Total Approve 22 33 34 89 Disapprove 31 28 34 93 Indifferent 24 6 26 56 Total 77 67 94 238 Report answers accurate to at least 4 decimal places. 1. What is the probability that a randomly selected employee: a) was not indifferent? 0.7647 b) was in the over 40 age group and disapproved? 0.1428 c) was not in the over 40 age group and disapproved? 0.8571 x d) was in the 25 to 40 age group or was indifferent? e) was not in the 25 to 40 age group or was indifferent? f) was not 25 to 40 and was not indifferent?
2. Given that an employee was in the over 40 age group, what is the probability that the employee a) disapproved? b) was not indifferent? 3. What is the probability of selecting an employee that was in the 25 to 40 age group from a group of employees that a) disapproved? b) was not indifferent?