Sun Love grapefruit growers have determined that the diameters of their grapefruits are normally distrubuted with a mean of 4.5 inches and a standard deviation of 0.3 inches.
A) What is the probability that a randomly selected grapefruit will have a diameter of at least 4.14 inches?
B) What percentage of the grapefruits has a diameter between 4.8 and 5.04 inches?
C) Sun Love packs their largest grapefruits in special package called the super pack. If 5% of all their grapefuits are packed as super packs, what is the smallest diameter of the grapefruits that are in the super packs?
D) In this year harvest, there were 111,500 grapefruits that had a diameter over 5.01 inches. How many grapefruits has Sun Love harvested this year?
A Complete, Neat and Step-by-step Solution is provided in the attached file.