Q:

Based on a​ poll, 67​% 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?

Accepted Solution

A:
Answer:The required probability is 0.988.Step-by-step explanation:Consider the provided information.Based on a​ poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. That means the probability of more careful is 0.67The probability of not careful is: 1-0.67 = 0.33We have selected four random Internet​ users. we need to find the probability that at least one is more careful about personal information.P(At least one careful) = 1 - P(None of them careful)P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)P(At least one careful) = 1 - 0.012P(At least one careful) = 0.988Hence, the required probability is 0.988.The result may be higher because of the convenience bias in retrieving the sample. Because the survey subjects volunteered to​ respond not random.