Let’s assume that the average annual consumption of fresh fruit per person in a recent year is 77.8 kg. Suppose the standard deviation of fresh fruit consumption is about 20 kg. Suppose an analyst took a random sample of 38 people and had them keep a record of the fresh fruit they ate for one year.

a. What is the probability that the sample average would be less than 76 kg?
b. What is the probability that the sample average would be between 77 kg and 82 kg?
c. What is the probability that the sample average would be less than 85 kg?
d. What is the probability that the sample average would be between 75 kg and 76 kg?