73% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 31 owned dogs are randomly selected, find the probability that

a. Exactly 22 of them are spayed or neutered.

b. At most 24 of them are spayed or neutered.

c. At least 23 of them are spayed or neutered.

d. Between 21 and 29 (including 21 and 29) of them are spayed or neutered.