5 Each box of Fruity Flakes contains \(X\) grams of flakes and \(Y\) grams of fruit, where \(X\) and \(Y\) are independent random variables, having distributions \(\mathrm { N } ( 400,50 )\) and \(\mathrm { N } ( 100,20 )\) respectively. The weight of each box, when empty, is exactly 20 grams. A full box of Fruity Flakes is chosen at random.

1. Find the probability that the total weight of the box and its contents is less than 530 grams.
2. Find the probability that the weight of flakes in the box is more than 4.1 times the weight of fruit in the box.