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67% of all Americans live in cities with population greater than 100,000 people. If 34 Americans...

67% of all Americans live in cities with population greater than 100,000 people. If 34 Americans are randomly selected, find the probability that

a. Exactly 23 of them live in cities with population greater than 100,000 people.

b. At most 23 of them live in cities with population greater than 100,000 people.

c. At least 22 of them live in cities with population greater than 100,000 people.

d. Between 18 and 24 (including 18 and 24) of them live in cities with population greater than 100,000 people.

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