07. Based on a poll, 60% of internet users are more careful about personal infor
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Question
07. Based on a poll, 60% of internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among three 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? The result should not be impacted by this because there is no reason to lie when responding. The result should not be impacted by this because volunteers are likely to have the most relevant responses a. b. c. It is very possible that the result is not valid because not everyone uses public Wi-Fi. d. It is very possible that the result is not valid because the sample may not be representative of the people who use public Wi-Fi.Explanation / Answer
Here 60% of internet users are more careful about personal information when using a public WI-FI hotspot so the probability that users are more careful about personal information when using a public WIFI hotspot is 0.60. By the complement rule of probability, the probability that internet users are not careful about personal information when using a public WIFI hotspot is
P(Internet users are not careful when using Public WI-FI)= 1-(Internet users are careful when using Public WIFI)
=1-0.60
=.40
Then the probability that among four randomly selected internet users, at least one is more careful about personla information when uisng public Wifi hotspot is equal to complement of the probability that among four randomly selected users, none of them is more careful about personal information using a public WI-FI hotspot. Since users are randomly selected and independent from each other so the required probability is
P(Internet users are not careful when using Public WI-FI)= 1-P(None of them are careful when using Public WIFIhotspot)
= 1- (0.40)(0.40)(0.40)(0.40)
=1-0.0256
=0.974
Hence, 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 is 0.974
Since the survey subjects volunteered to respond and not selected randomly so result calculated above might not be correct.
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