Bottles of wine are stacked in racks of 12. The weights of these bottles are normally distributed with
mean 1.3 kg and standard deviation 0.06 kg. The weights of the empty racks are normally distributed
with mean 2 kg and standard deviation 0.3 kg.
(i) Find the probability that the total weight of a full rack of 12 bottles of wine is between 17 kg and
18 kg.

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i was able to find the mean.. but the variance was not correct

to find the variance, for find the variance of the wine and of the rack
what do you get for them ?

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