1 Draught excluder for doors and windows is sold in rolls of nominal length 10 metres.
The actual length, \(X\) metres, of draught excluder on a roll may be modelled by a normal distribution with mean 10.2 and standard deviation 0.15 .

1. Determine:
   1. \(\mathrm { P } ( X < 10.5 )\);
   2. \(\mathrm { P } ( 10.0 < X < 10.5 )\).
2. A customer randomly selects six 10 -metre rolls of the draught excluder. Calculate the probability that all six rolls selected contain more than 10 metres of draught excluder.