Eggs have weights that are normally distributed with a mean of 60 g and a standard deviation of 8 g. a) If an egg is selected at random, what is the probability that it weighs greater than 50 g? b) If an egg is selected at random, what is the probability that it weighs between 50 g and 74 g? c) Which egg is heavier (and why): an egg that weights 74 g or an egg whose Z value is 1.82? Explain. d) Suppose the lightest 5% of eggs are classified as "small". How much would an egg need to weigh to be classified as small