7 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 .

1. Find the probability that the total weight of a full rack of 12 bottles of wine is between 17 kg and 18 kg .
2. Two bottles of wine are chosen at random. Find the probability that they differ in weight by more than 0.05 kg .