Suppose a certain ophthalmic trait is associated with eye color. Three hundred randomly selected individuals are studied, with results given in the following table.

Eye Color Trait Blue Brown Other Total Yes 70 30 20 120 No 20 110 50 180 Total 90 140 70 300

a. What is the probability that a person selected at random has blue eyes?

b. What is the probability that a person selected at random has the trait?

c. Are events A (has blue eyes) and B (has the trait) independent? Justify your answer.

d. How are the two events A (has blue eyes) and C (has brown eyes) related—independent, mutually exclusive, complementary, or all inclusive?

Explain why or why not each term applies.