It is claimed that 79% of all Americans live in cities with population greater than 100,000 people.
Based on this, if 41 Americans are randomly selected, find the probability that

a. Exactly 30 of them live in cities with population greater than 100,000 people.

b. At most 33 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 28 and 33 (including 28 and 33) of them live in cities with population greater than
100,000 people.