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a) Let Y represent the number of times a patient sees a doctor in a 1-week period. Assume this is the probability distribution of Y.

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a) Let Y represent the number of times a patient sees a doctor in a 1-week period. Assume this is the probability distribution of Y. f(y) = y = 1,2,3 otherwise Find i) mean, E (Y) and variance, V(Y). (5 marks) ii) E(3Y) - V(5 - 2Y). (2 marks)

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