Under usual conditions, a distillation unit in a refinery can process a mean of 135,000 barrels per day of crude petroleum, with a standard deviation of 6,000 barrels per day. You may assume the normal distribution.

1. Find the probability that the number of barrels processed on a given day will be between 125,000 and 140,000.

2. Suppose that yesterday the refinery was working much slower than usual and processed less oil that it normally does in 80% of all days. How many barrels of oil were processed yesterday? You may round it to the nearest barrel (up or down, doesn't matter).

Please include clear explanations.