An orange juice producer buys oranges from a large orange grove that has one variety of orange ...

  

An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally​ distributed, with a mean of 4.60 ounces and a standard deviation of 0.48 ounce. Suppose that you select a sample of 36 oranges.

a. What is the probability that the sample mean amount of juice will be at least 4.51 ounces?

b. The probability is 74​% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population​ mean?

c. The probability is 76​% that the sample mean amount of juice will be greater than what​ value?