5 The masses, in grams, of large and small packets of Maxwheat cereal have the independent distributions \(\mathrm { N } \left( 410.0,3.6 ^ { 2 } \right)\) and \(\mathrm { N } \left( 206.0,3.7 ^ { 2 } \right)\) respectively.

1. Find the probability that a randomly chosen large packet has a mass that is more than double the mass of a randomly chosen small packet.
   The packets are placed in boxes. The boxes are identical in appearance. \(60 \%\) of the boxes contain exactly 10 randomly chosen large packets. 40\% of the boxes contain exactly 20 randomly chosen small packets.
2. Find the probability that a randomly chosen box contains packets with a total mass of more than 4080 grams.