Question

Based on a​ poll, 68​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among fourfour 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?

Answer 1

Here X ≡ Number of internet users who are more careful about their personal info when using a public Wi-Fi hotspot.
X ~ Binomial Distribution with parameters n = 5, p = 0.68
P (among 5 randomly selected internet users, at least 1 is more careful about their personal info. when using public wifi hotspot)
= P (X>=1)
= 1 - P (X = 0)
=1 - 0.003355443
= 0.996644557
= 0.9966 (approx.)
The results could vary depending on what information the subject chose to give so the number may not be exact