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...

Extracted text: 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 $2.42 and variance 0.09. If each individual in the population drinks 2 kg of tea and 1 kg of coffee, the mean total expenditure on beverages is $ with a variance of If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure on beverages is S with a variance of IH X and Y have a bivariate distribution with covariance zero, this implies that the variables show