According to a consumer survey of young adults (18-24 years ofage) who shop online, 33% own a mobile phone with internet access. In a random sample of 500 young adults who shop online, let x be the number who own a mobile phone with internet access. a. 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, dependent trials, with more than two possible outcomes. The probability that an event occurs varies from trial to trial. B. The experiment consists of nidentical, independent trials, where there are only two possibleoutcomes, 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. 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, dependenttrials, where there are only two possible outcomes, S (for Success) and F (for Failure). b. What is the value of p? Interpret this value. pequals=?(Type an integer or a decimal.) Choose the correct interpretation of p below. A. For any youngadult, the probability that they own a mobile phone with internet access is p. B. For any young adult, the probability that they do not own a mobile phone with internet access is p. C. For any youngadult, the probability that they own a mobile phone with internet access is npnp. D. For any young adult, the probability that they own a mobile phone with internet access is 1 minus p1−p. c. What is the expected value of x? Interpret this value. E(x)equals= nothing Choose the correct interpretation below. A. In a random sample of 500 young adults Upper E left parenthesis x right parenthesisE(x) will always be the number of young people surveyed that will own mobile phones with internet access. B. In a random sample of 500 young adults Upper E left parenthesis x right parenthesisE(x) is the average number of young people surveyed that will own mobile phones with internet access. C. In a random sample of 500 young adults Upper E left parenthesis x right parenthesisE(x) is the largest possible number of young people surveyed that will own mobile phones with internet access. D. In a random sample 500 young adults Upper E left parenthesis x right parenthesisE(x) is the average number of young people surveyed that will not own mobile phones with internet access.