There are 450 players in the National Basketball Association? Of those players, 107 were born outside of the United States. You randomly select 15 players without replacement.

1. Explain whether your 15 selections are independent from each other.
2. Are your 15 selections Bernoulli trials?
3. What is the probability that 5 of the players selected were born outside of the United States?
4. What is the probability that fewer than 3 players selected were born outside of the United States?
5. Which probability distribution did you use to answer parts c. and d. of this question? Calculate the mean and variance of the distribution.