A orange juice producer buys all of his oranges from a large orange orchard in Florida. Suppose that the amount of juice squeezed form each of these oranges is normally distributed with a mean of 4.70 and a standard deviation of 0.50 ounces.
a. What is the probability that the amount of juice squeezed from a randomly selected orange is between 4.70 and 5.00 ounces?
b. Suppose that a sample of 25 oranges is selected. What is the probability that the sample mean will be at least 4.60 ounces?
C. Supposed that a sample of 25 oranges is selected. What is the probability that the sample standard deviation will be less than 0.588 ounce?