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 $2.95 and variance 0.16. An individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09. total oxnonditureon boverages is

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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 $2.95 and variance 0.16. An individual's per kg expenditure on coffee is distributed with mean
$2.32 and variance 0.09.
If each individual in the population drinks 3 kg of tea and 2 kg of coffee, the mean total expenditure on beverages is
$13.49 with a variance of
If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure on beverages is $
with a variance of .
If X and Y have a bivariate distribution with covariance zero, this implies that the variables show
Transcribed Image 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 $2.95 and variance 0.16. An individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09. If each individual in the population drinks 3 kg of tea and 2 kg of coffee, the mean total expenditure on beverages is $13.49 with a variance of If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure on beverages is $ with a variance of . If X and Y have a bivariate distribution with covariance zero, this implies that the variables show
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