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.

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