5 Large packets of sugar are packed in cartons, each containing 12 packets. The weights of these packets are normally distributed with mean 505 g and standard deviation 3.2 g . The weights of the cartons, when empty, are independently normally distributed with mean 150 g and standard deviation 7 g .

1. Find the probability that the total weight of a full carton is less than 6200 g .
   Small packets of sugar are packed in boxes. The total weight of a full box has a normal distribution with mean 3130 g and standard deviation 12.1 g .
2. Find the probability that the weight of a randomly chosen full carton is less than double the weight of a randomly chosen full box.