Consider that the population of 45,000 students includes 6,000 foreign students and 39,000 domestic students. However, suppose now that the cumulative mean and the origin of the students (i.e., domestic or foreign) are independent random variables. Let us also assume that the expectation of the cumulative average of domestic students is 3.79. In this case, what would be the expectation of the cumulative mean for the whole population? Justify your answer. (a)How would your answer to question above if the population of 45 000 students had 8 000 foreign students and 37 000 domestic students instead? Justify your answer.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Consider that the population of 45,000 students includes 6,000 foreign students and 39,000 domestic students. However, suppose now that the cumulative mean and the origin of the students (i.e., domestic or foreign) are independent random variables. Let us also assume that the expectation of the cumulative average of domestic students is 3.79. In this case, what would be the expectation of the cumulative mean for the whole population? Justify your answer.

(a)How would your answer to question above if the population of 45 000 students had 8 000 foreign students and 37 000 domestic students instead? Justify your answer.

 

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