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71% of owned dogs in the United States are spayed or neutered. Round your answers to...

71% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 46 owned dogs are randomly selected, find the probability that

a. Exactly 33 of them are spayed or neutered.
b. At most 32 of them are spayed or neutered.
c. At least 33 of them are spayed or neutered.
d. Between 28 and 34 (including 28 and 34) of them are spayed or neutered.

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