Question. The number of first-year students who were admitted and accepted for the 2022 fall semester at Pitt was 4927. Of those: 3431 were admitted to the Dietrich School of Arts and Sciences, 661 were admitted to the School of Engineering, 402 were admitted to the College of Business Administration, 253 were admitted to the School of Computing and Information, 180 were admitted to the School of Nursing. Part a ) Given the size of the group of first-year students (here, we can call this the population), can we assume independence if we choose a sample of two students? Possible answer choices: No because N < 10n Yes because N > 10n    Part b) If you were to choose two students at random and assume that the sampling is approximately independent, what is the probability that both students are in the College of Business Administration? (report to 3 decimal places as a proportion.)

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The number of first-year students who were admitted and accepted for the 2022 fall semester at Pitt was 4927. Of those:

  • 3431 were admitted to the Dietrich School of Arts and Sciences,
  • 661 were admitted to the School of Engineering,
  • 402 were admitted to the College of Business Administration,
  • 253 were admitted to the School of Computing and Information,
  • 180 were admitted to the School of Nursing.

Part a ) Given the size of the group of first-year students (here, we can call this the population), can we assume independence if we choose a sample of two students?

Possible answer choices:

No because N < 10n

Yes because N > 10n

 

 Part b) If you were to choose two students at random and assume that the sampling is approximately independent, what is the probability that both students are in the College of Business Administration? (report to 3 decimal places as a proportion.)

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