Chapter 5.2, Problem 5.26E

O Canada! The National Hockey League (NHL) has 80% of its players born outside the United States, and of those born outside the United States, 50% are born in Canada.2 Suppose that $n=12\text{NHL}$ players were selected at random. Let x be the number of players in the sample who were born outside of the United States so that $p=.8$ . Find the following probabilities:

1. At least five or more of the sampled player were born outside the United States.
2. Exactly seven of the players were born outside the United States.
3. Fewer than six were born outside the United States.