Question

Voting records in a certain state show that 53% of those registered to vote are Democrats....

Voting records in a certain state show that 53% of those registered to vote are Democrats. In order to gather information for an upcoming story about the election, a news organization sends 9 of its reporters to choose a random registered voter to interview. The reporters are working independently, so it is possible (but unlikely) that some voter is chosen by more than one of the reporters.

What is the probability that at most 6 of the 9 reporters choose a Democrat to interview?

What is the probability that 7 or more of the 9 reporters choose a Democrat to interview?

What is the probability that more than 5 of the 9 reporters choose a Democrat to interview?

What is the probability that fewer than 3 of the 9 reporters choose a Democrat to interview?

(Round each answer to at least three decimal places.)

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