The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.08 inches and a standard deviation of 0.59 inches. Show all work.
(A) What percentage of the grapefruits in this orchard is larger than 5.17 inches?
(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.17 inches?