The diameter of oranges from an orchard are normally distributed with mean = 3.2 inches and standard deviation = 1.1 inches. What is the probability that the diameter of an orange is:

Between 3 and 4 inches?

For a random sample of 8 oranges what is the probability that the average diameter for the eight oranges is between 3 and 4 inches?

If the diameter of oranges had not been normally distributed, what is the minimum sample size needed to get the distribution to be approximately normal?