According to a survey conducted by the Pew Internet & American Life Project (Feb

Question

According to a survey conducted by the Pew Internet & American Life Project (Feb. 2007), 20% of Internet users go online at home using a wireless network. In a random sample of 100 Internet users, let x be the number who go online at home using a wireless network. a. Explain why x is a binomial random variable (to a reasonable degree of approximation). b. What is the value of p? Interpret this value. c. What is the expected value of x? Interpret this value.

Explanation / Answer

p= 0.2 n= 100 a) np = 20 nq= 80 since, np and nq >=10, I can sau that x is a binominal random variable. also, x can take only 2 values either succes or falure. b) p= 0.2 20% of the internet users go online at home using a wireless netwrok. P of success is 20% c) E(X) = np 20 I expect 20 internet users who go online at home using a wireless netwrok from a sample of 100 users.

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