4 Each month a company sells \(X \mathrm {~kg}\) of brown sugar and \(Y \mathrm {~kg}\) of white sugar, where \(X\) and \(Y\) have the independent distributions \(\mathrm { N } \left( 2500,120 ^ { 2 } \right)\) and \(\mathrm { N } \left( 3700,130 ^ { 2 } \right)\) respectively.

1. Find the mean and standard deviation of the total amount of sugar that the company sells in 3 randomly chosen months.
   The company makes a profit of \(
   ) 1.50\( per kilogram of brown sugar sold and makes a loss of \)\\( 0.20\) per kilogram of white sugar sold.
2. Find the probability that, in a randomly chosen month, the total profit is less than \(
   ) 3000$.