5. An organic farm produces eggs which it sells through a local shop. The weight of the eggs produced on the farm are normally distributed with a mean of 55 grams and a standard deviation of 3.9 grams.

1. Find the probability that two of the farm's eggs chosen at random differ in weight by more than 4 grams. The farm sells boxes of six eggs selected at random. The weight of the boxes used are normally distributed with a mean of 28 grams and a standard deviation of 1.2 grams.
2. Find the probability that a randomly chosen box with six eggs in weighs less than 350 grams.