. An orange juice producer buys only one kind of orange. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.25 ounces and a population standard deviation of 2.4 ounces. If a sample of 64 oranges is selected:

(a) What is the probability that the average juice squeezed is less than 4.2 ounces?

(b) What is the probability that the average juice squeezed is more than 4.32 ounces?

(c) What is the probability that the average juice squeezed is between 4.2 ounces and 4.32 ounces?

(d) Do we need the Central Limit Theorem to solve (a) and (b)? Why or why not? Explain.