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According to the college registrar\'s office, 45% of students enrolled in an int

ID: 3370735 • Letter: A

Question

According to the college registrar's office, 45% of students enrolled in an introductory statistics class this semester are freshmen, 15% are sophomores, 30% 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? success and "any other class" as a failure. trial with "junior" being a success and "any other class" as a failure. trial with "freshman" being a success and "any other class" as a failure. 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 A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this What is the probability of success? 0.0000131X

Explanation / Answer

Solution:

As we have,

Probability of Freshman = 45% = 0.45

And as per part a) we know we can use probability of freshman as a probability of success.

hence probability of success = 0.45

Done

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