6 The numbers of barrels of oil, in millions, extracted per day in two oil fields \(A\) and \(B\) are modelled by the independent random variables \(X\) and \(Y\) respectively, where \(X \sim \mathrm {~N} \left( 3.2,0.4 ^ { 2 } \right)\) and \(Y \sim \mathrm {~N} \left( 4.3,0.6 ^ { 2 } \right)\). The income generated by the oil from the two fields is \(
) 90\( per barrel for \)A\( and \)\\( 95\) per barrel for \(B\).

1. Find the mean and variance of the daily income, in millions of dollars, generated by field \(A\). [3]
2. Find the probability that the total income produced by the two fields in a day is at least \(
   ) 670$ million.