Assume that 35% of us have blue eyes (based on a study by Dr. P. Soria at Indiana University).
a. Let B denote the event of selecting someone who has blue eyes. What does the event B̅ denote?
b. Find the value of P(B̅).
c. Find the probability of randomly selecting three different people and finding that all of them have blue eyes.
d. Find the probability that among 100 randomly selected people, at least 40 have blue eyes.
e. If 35% of us really do have blue eyes, is a result of 40 people with blue eyes among 100 randomly selected people a result that is significantly high?