According to a consumer survey of young adults? (18-24 years of? age) who shop? online, 16?% own a mobile phone with internet access. In a random sample of 400 young adults who shop? online, let x be the number who own a mobile phone with internet access.
1. Explain why x is a binomial random variable? (to a reasonable degree of? approximation). Choose the correct explanation below.
A. The experiment consists of n? identical, independent? trials, where there are only two possible? outcomes, S? (for Success) and F? (for Failure). The probability of S varies from trial to trial. The variable x is the number of? F's in n trials.
B. The experiment consists of n? identical, dependent? trials, where there are only two possible? outcomes, S? (for Success) and F? (for Failure).
C. The experiment consists of n? identical, independent? trials, where there are only two possible? outcomes, S? (for Success) and F? (for Failure). The probability of S remains the same from trial to trial. The variable x is the number of? S's in n trials.
D. The experiment consists of n? identical, dependent? trials, with more than two possible outcomes. The probability that an event occurs varies from trial to trial.
b. What is the value of? P? Interpret this value. P =?
Choose the correct interpretation of p below.
A. For any young? adult, the probability that they own a mobile phone with internet access is 1 minus p1-p.
B. For any young? adult, the probability that they own a mobile phone with internet access is npnp.
C. For any young? adult, the probability that they own a mobile phone with internet access is p.
D. For any young? adult, the probability that they do not own a mobile phone with internet access is p.
c. What is the expected value of? x? Interpret this value.
?E(x)equals=?
Choose the correct interpretation below.
A. In a random sample of 400 young adults E(x) is the average number of young people surveyed that will not own mobile phones with internet access.
B. In a random sample of 400 young adults E(x) is the largest possible number of young people surveyed that will own mobile phones with internet access.
C. In a random sample of 400 young adults E(x) is the average number of young people surveyed that will own mobile phones with internet access.
D. In a random sample of 400 young adults E(x) will always be the number of young people surveyed that will own mobile phones with internet access.