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Government data show that 7% of the American population are at least 75 years of age....

Government data show that 7% of the American population are at least 75 years of age. To test a random-digit dialing device, you use the device to call randomly chosen residential telephones in your county. Of the 280 members of the households contacted, 4% are 75 years or older.

What is the probability that a random sample of 280 respondents would contain less than 4% of individuals at least 75 years of age? (Use 3 decimal places)

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