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Privacy Concerns of Internet Users - Binomial Probability Calculation

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ajanthakadhar

A survey found that 60% of internet users are concerned about email privacy. The document asks what is the probability that in a random sample of 10 internet users, 6 of them will be concerned about email privacy. The solution uses the binomial distribution formula to calculate this probability as 0.2508.

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Privacy is a concern for many users of the Internet. One survey showed that 60% of Internet users are somewhat concerned about the confidentiality of their e-mail. Based on this information, what is the probability that for a random sample of 10 Internet users, 6 are concerned about the privacy of their e-mail? Solution Given X~Binomial(n=10, p=0.6) P(X=x)=xC10*(0.6^x)*(0.4^(10-x)) So the probability is P(X=6)=6C10*(0.6^6)*(0.4^(10-6)) =210*(0.6^6)*(0.4^(10-6)) = 0.2508

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Privacy Concerns of Internet Users - Binomial Probability Calculation

  • 1. Privacy is a concern for many users of the Internet. One survey showed that 60% of Internet users are somewhat concerned about the confidentiality of their e-mail. Based on this information, what is the probability that for a random sample of 10 Internet users, 6 are concerned about the privacy of their e-mail? Solution Given X~Binomial(n=10, p=0.6) P(X=x)=xC10*(0.6^x)*(0.4^(10-x)) So the probability is P(X=6)=6C10*(0.6^6)*(0.4^(10-6)) =210*(0.6^6)*(0.4^(10-6)) = 0.2508