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?

3

b) If an egg is selected at random, what is the probability that it weighs between 50 g and 74 g?

3

c) Which egg is heavier (and why): an egg that weights 74 g or an egg whose Z value is 1.82? Explain.

1

d) Suppose the lightest 5% of eggs are classified as "small". How much would an egg need to weigh to be classified as small?