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 a normal distribution.
a. Find the probability that more than 135,000 barrels will be produced on a given day.
b. Find the probability that more than 130,000 barrels will be produced on a given day.
c. Find the probability that more than 150,000 barrels will be produced on a given day.
d. Find the probability that less than 125,000 barrels will be produced on a given day.
e. Find the probability that less than 100,000 barrels will be produced on a given day.