(Answered) Question an engineering firm is considering the possibility

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Question: An engineering firm is considering the possibility of establishing a branch office in Toronto and one in Mexico City. Let T be the event that the firm will establish a branch office in Toronto and M be the event that the firm will establish a branch office in Mexico City.

(a) Express each of the events described below in terms of set operations on T and M.

(i) The firm establishes a branch office in both cities.

(ii) The firm establishes a branch office in neither of the cities.

(iii) The firm establishes a branch office in exactly one of the cities.

(b) For each of the three subparts of part (a), draw a Venn diagram that shows the events T and M and shade the event described.

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