A financial manager made two new investments—one in the oil industry and one in
municipal bonds. After a one-year period, each of the investments will be classified as either
successful or unsuccessful. Consider the making of the two investments as an experiment.

a. How many sample points exist for this experiment?

b. Show a tree diagram and list the sample points.

c. Let O= the event that the oil industry investry investry investry investry investry investry investry investry in successful and M= the event that
the municipal bond investment is successful. List the sample points in O and in M.

d. List the sample points in the union of the events (O∪M).

e. List the sample points in the intersection of the events (O∩M) .

f. Are events O and M mutually exclusive? Explain.

World systems manufactures an optical switch that it uses in its final product. world systems incurred the following manufacturing costs when it produced 74 comma 000 units last​ year: ​(click the icon to view the manufacturing​ costs.) another company has offered to sell world systems the switch for $ 13.50 per unit. the world systems prepared an outsourcing decision analysis to show the cost per unit of making the switches versus the cost per unit of buying​ (outsourcing) the switches. ​(click the icon to view the outsourcing decision​ analysis.) world systems needs 86 comma 000 optical switches next year​ (assume same relevant​ range). by outsourcing​ them, world systems can use its idle facilities to manufacture another product that will contribute $ 140 comma 000 to operating​ income, but none of the fixed costs will be avoidable. should world systems make or buy the​ switches? show your analysis.