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In a given population for beverage drinkers, an individual's per kg expenditure on tea (T) and their per kg expenditure on coffee (C) have a

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In a given population for beverage drinkers, an individual's per kg expenditure on tea (T) and their per kg expenditure on coffee (C) have a bivariate normal distribution with covariance 0.15 . An individual's per kg expenditure on tea is distributed with mean $2.75 and variance 0.16 . An individual's per kg expenditure on coffee is distributed with mean $2.12 and variance 0.09 . If each individual in the population drinks 3kg of tea and 2kg of coffee, the mean total expenditure on beverages is with a variance of 3.6 . If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure on beverages is $ with a variance of

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