6. Mugs are packed into padded crates for ship- ping. Each crate contains 15 mugs. The mugs are normally distributed with a mean of 450g and a standard deviation of 5g. The weights of the empty crates are also nor- mally distribute with a mean of 150g and a standard deviation of 13g. (a) Calculate the mean and variance for a full crate. (b) 90% of the full crates lie below a certain weight, what is that weight?

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