An orange juice producer buys all his oranges from a large orange grove. The amount of juice squeezed from each orange is approximately normally distributed with a mean of 135 mL and a standard deviation of 12 mL.
a. What is the probability that a randomly selected orange will contain between 135 mL and 140 mL?
b. What is the probability that a randomly selected orange will contain between 140 mL and 155 mL?
c. 77% of the oranges will contain at least how many millilitres of juice?
d. 80% of the oranges are between what two values (in millilitres) symmetrically distributed around the population mean?