71% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 49 owned dogs are randomly selected, find the probability that

a. Exactly 34 of them are spayed or neutered.

b. At most 38 of them are spayed or neutered.

c. At least 36 of them are spayed or neutered.

d. Between 33 and 39 (including 33 and 39) of them are spayed or neutered.