An orange juice producer buys all his oranges from a large orange grove. The amount of juice squeezed from each of these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce.
a. What is the probability that a randomly selected orange will contain between 4.70 and 5.00 ounces of juice?
b. What is the probability that a randomly selected orange will contain between 5.00 and 5.50 ounces of juice?
c. At least how many ounces of juice will 77% of the oranges contain?
d. 80% of the oranges contain between what two values (in ounces of juice), symmetrically distributed around the population mean? Discuss.