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. If you were to choose one student at random from these first-year students, what would be the probability the student would be in the Dietrich School? (report to 2 decimal places as a proportion.) The probability that a randomly chosen student would be from the Dietrich School is the number of students admitted to the Dietrich School divided by the total number of students admitted: P(Dietrich School)=34314927P(Dietrich School)=49273431 P(Dietrich School) = 0.6966 (rounded off to four decimal places for the calculation) To report it to 2 decimal places as a proportion: 0.70 Question b) If you were to choose one student at random, what is the probability that the student would be in the School of Engineering OR the School of Computing and Information? (report to 2 decimal places as a proportion.) The probability that a randomly chosen student would be in the School of Engineering OR the School of Computing and Information is the sum of the probabilities of each of these events: P(Engineering or Computing)=661+2534927P(Engineering or Computing)=4927661+253 P(Engineering or Computing) = 0.1858 (rounded off to four decimal places for the calculation) To report it to 2 decimal places as a proportion: 0.19 The general rule of thumb for the independence assumption in sampling without replacement (like choosing two students at random) is that if the sample size is less than 10% of the population, the samples can be treated as being roughly independent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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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.
If you were to choose one student at random from these first-year students, what would be the probability the student would be in the Dietrich School? (report to 2 decimal places as a proportion.)

The probability that a randomly chosen student would be from the Dietrich School is the number of students admitted to the Dietrich School divided by the total number of students admitted:

P(Dietrich School)=34314927P(Dietrich School)=49273431

P(Dietrich School) = 0.6966 (rounded off to four decimal places for the calculation)

To report it to 2 decimal places as a proportion: 0.70

Question b) If you were to choose one student at random, what is the probability that the student would be in the School of Engineering OR the School of Computing and Information? (report to 2 decimal places as a proportion.)

The probability that a randomly chosen student would be in the School of Engineering OR the School of Computing and Information is the sum of the probabilities of each of these events:

P(Engineering or Computing)=661+2534927P(Engineering or Computing)=4927661+253

P(Engineering or Computing) = 0.1858 (rounded off to four decimal places for the calculation)

To report it to 2 decimal places as a proportion: 0.19

The general rule of thumb for the independence assumption in sampling without replacement (like choosing two students at random) is that if the sample size is less than 10% of the population, the samples can be treated as being roughly independent.

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