According to the college registrar\'s office, 40% of students enrolled in an int

Question

According to the college registrar's office, 40% of students enrolled in an introductory statistics class this semester are freshmen, 15% are sophomores, 35% are juniors, and 10% are seniors. You want to determine the probability that in a random sample of five students enrolled in introductory statistics this semester, exactly two are freshmen. (a) Describe a trial. Can we model a trial as having only two outcomes? If so, what is success? What is failure? A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "junior" being a success and "any other class" as a failure. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "sophomore" being a success and "any other class" as a failure. A trial consists of looking at the class status of all students. Yes we can model this trial with "freshman" being a success and "any other class" as a failure. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "freshman" being a success and "any other class" as a failure. What is the probability of success? (b) We are sampling without replacement. If only 30 students are enrolled in introductory statistics this semester, is it appropriate to model 5 trials as independent, with the same probability of success on each trial? Explain Yes. This is a standard binomial probability model. No. There are more than two outcomes. No. The probability of success is the same for each trial. No. These trials are not independent. What other probability distribution would be more appropriate in this setting? normal chi-square hypergeometric uniform

Explanation / Answer

a) Option D is correct.

Probability of success = 0.40

b) No, these trails aren't independent

Hy[ergeometric

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