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OpenStudy (anonymous):

Need some Statistics help, will give a shiny medal: W is the mass of wine in a fully filled bottle, B is the mass of the bottle and c is the mass of the crate into which 12 filled bottles are placed for transportation, all in grams. It is given that W~N(825,15^2),B~N(400,10^2),C~N(1500,20^). Find the probability that a fully filled crate weighs less than 16.1 kg.

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