Answer:
Here , the no. of individual selected are : n = 4
Probability( Internet users are more careful about personal information when using a public Wi-Fi hotspot) : P = 0.68
∵ P(X < 1) = P(0 ≤ X ≤ 1) = P(X=0)
P(X≥1) = 1 - P(X< 1)
∴
P(X) = [tex]\binom{n}{0}\times P^0\times (1-P)^n[/tex]
P(X=0) = [tex]\binom{4}{0}\times (0.68)^0\times (1 - 0.68)^n[/tex]
P(X=0) ≈0.0140
P(X<1) = 0.0105
P(X≥1) = 1 - P(X< 1)
P(X≥1) = 1 - 0.0105 = 0.9895
The result is affected by the additional information that the survey subjects volunteered to respond as self selection causes the survey to be biased towards people with stronger opinion.
