79% of all Americans live in cities with population greater than 100,000 people. If 45 Americans are randomly selected, find the probability that

a. Exactly 34 of them live in cities with population greater than 100,000 people.

b. At most 38 of them live in cities with population greater than 100,000 people.

c. At least 34 of them live in cities with population greater than 100,000 people.

d. Between 32 and 36 (including 32 and 36) of them live in cities with population greater than 100,000 people.