Answer:
The probability that at least one internet user is more careful is 0.973
Step-by-step explanation:
We have been given that 70% of internet users are more careful about personal information when using a public wi-fi hotspot. Therefore, probability that a randomly chosen internet user is careful about the personal information would be 0.70.
We need to find the probability that among three randomly selected internet users, at least one is more careful. So, we can find the probability that none of the internet users is more careful and subtract that result from 1.
[tex]1-C_{0}^{3}(0.70)^{0}(0.30)^{3-0}\\1-\frac{3!}{0!3!}(1)(0.30)^{3}\\1-(0.30)^{3}\\1-0.027\\0.973\\[/tex]
Therefore, the probability that at least one internet user is more careful is 0.973
