A financial manager made two new investments—one in the oil industry and one in municipalbonds. After a one-year period, each of the investments will be classified as either successfulor unsuccessful. Consider the making of the two investments as a random 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 investment is successful and M = the event thatthe 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.

Question

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 a random 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 investment is 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.

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