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Question

Based on a​ poll, 70​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among four randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond?

The probability that at least one of them is careful about personal information is ____.

​(Round to three decimal places as​ needed.)

Answer 1

The probability of at least one is the same as 1-probability of none, i.e.

1-(.3)⁴.

Note: this is a binomial distribution problem.