Question: (15 points) An Arizona-based hospitality-related firm is interested in studying the feasibility of its three new employee-related initiatives: modified health care plan, a proposed flexible work schedule, and the new accelerated retirement system. The recent survey of its blue-collar employees revealed that forty-two percent of blue-collar employees were in favor of a modified health care plan, forty percent were in favor of a proposed flexible work schedule, and fifty percent of the blue collar employees favored the new accelerated retirement system. Thirty-five percent of those favoring a proposed flexible work schedule favored the modified health care plan. Also, forty-four percent of those favoring the new accelerated retirement system favored the modified health care plan. In addition, twenty-six percent of those favoring the new accelerated retirement system favored the proposed flexible work schedule. The survey indicates that only eight percent did not favor any of these three new initiatives. If a blue-collar employee from this hospitality-related firm is randomly selected, what is the probability that he/she:

a. Favors either the modified health care plan or flexible work schedule but not both?

b. Favors either the new accelerated retirement system or modified health care plan but not the proposed flexible work schedule?

c. Favors neither the modified health care plan nor the new accelerated retirement system?

d. Favors the flexible work schedule or the new accelerated retirement system given that the worker does not favor the modified health care plan?

e. Does not favor the modified health care plan given that the worker favors the flexible work schedule and the new accelerated retirement system?

f. Does not favor the flexible work schedule given that the worker does not favor the modified health care plan?