The diameters of grapefruits in certain orchard are normally distributed with mean of 5.11 inches and standard deviation of 0.49 inches. Show all work.
(A) What percentage of grapefruits in this orchard is larger than 5.18 inches?
(B) A random sample of 100 grapefruits is collected and the mean diameter is computed. Determine the probability that the sample mean is greater than 5.18 inches?