3 7, According to a 2013 study by the Pew Research Center, 15% of adults in the

Question

3 7, According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research Center website, December, 15, 2014). Suppose that 10 adults in the United States are selected randomly. a. Is the selection of the 10 adults a binomial experiment? Explain. b. What is the probability that none of the adults use the Internet? c. What is the probability that 3 of the adults use the Internet? d. What is the probability that at least 1 of the adults uses the Internet?

Explanation / Answer

We have been given params of binomial distribution. n = 10, p = .15

Lets see how to solve this question as below:

a. Yes, since the outcome is binomial i.e. Adults use or do not use the internet

b. P(X=0) = 10C0 (.15^0)(.85^10) = 0.1969

c. P(X=3) = 10C3 (.15^3)(.85^7) = .1298

d. P(X>=1) = 1-P(X<1) = 1-P(X=0) = 1-.1969 = .8031

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