An orange juice producer purchase all his oranges from large orange grove. The amount of juice squeezed from each of these oranges is approximately normally distributed, with mean of 4.70 ounces and standard deviation of 0.40 ounce.
a. Determine the probability that a random selected orange will contain between 4.70 and 5.00 ounces of juice?
b. Determine the probability that a randomly selected orange will contain between 5.00 and 5.50 ounces of juice?
c. At least how mant 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 population of the mean?