Suppose that of all individuals buying a certain personal computer, 60 % include a word processing program in their purchase, 40 % include a spreadsheet program, and 30 % include both types of programs. Consider randomly selecting a purchaser and let W = event word processing program included, and S = event spreadsheet program included. Then P(W) = 0.60, P(S) = 0.40, and P (both included) = P (W ∩ S) = 0.30. Determine; i. The probability that a purchaser included a word processing program given that the selected individual included a spreadsheet program;  ii. The probability that a purchaser included a spreadsheet program given that the selected individual included a word program;  iii. Are events W and S independent or dependent? Explain.

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