The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it is small, easy to grow, and reproduces rapidly. The length of the thorax in a population of male fruit flies is approximately normally distributed with a mean of 0.800 millimeters (mm) and standard deviation of 0.078 mm.
(a) Determine the percentage of fruit flies that have thorax lengths 0.9 mm or longer?
(b) Determine the percentage of fruit flies that have thorax lengths between 0.9 mm and 1 mm?
(c) Find the 30th percentile for the thorax lengths of these fruit flies. In other words, find the thorax length at which 30% of the population of fruit flies have thorax lengths are less than that length.