5.27 O Canada! The National Hockey League (NHL) has 80% of its players born outside the United...

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5.27 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. Suppose that n = 12 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=0.8. Find the following probabilities:

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a. At least five of the sampled players were born out- side the United States.

b. Exactly seven of the players were born outside the United States.

c. Fewer than six were born outside the United States.

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