Question

In: Statistics and Probability

Based on a​ poll, 6767​% of Internet users are more careful about personal information when using...

Based on a​ poll, 6767​% 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?

What is the probability that at least one of them is careful about personal information is? (Round answer to nearest 3 decimal place if needed)

Solutions

Expert Solution

X ~ Bin ( n , p)

Where n = 4 , p = 0.67

Binomial probability distribution is

P(X) = nCx * px * ( 1 - p)n-x

P(X >= 1) = 1 - P(X = 0)

= 1 - 4C0 * 0.670 * ( 1 - 0.67)4

= 0.988

With the additional information, it is possible that the result is not valid because sample may not be

representative of the people who use public Wi-Fi

orchestra answered 2 years ago
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