College

We appreciate your visit to A survey of 100 college students who frequently read university related material revealed the following results a 40 read Time Magazine b 30 read Newspaper. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A survey of 100 college students who frequently read university-related material revealed the following results:

a. 40% read Time Magazine
b. 30% read Newspaper
c. 25% read US News
d. 15% read both Time Magazine and Newspaper
e. 12% read both Time Magazine and US News
f. 10% read both Newspaper and US News
g. 4% read all three publications

How many of the students read:

1. At least one magazine?
2. None of these three magazines?

Answer :

Final answer:

Using the Principle of Inclusion-Exclusion, 62 out of 100 surveyed students read at least one magazine, while 38 students read none of the three magazines. This shows a significant interest in the magazines among the students surveyed. Thus, each magazine has a considerable readership among college students.


Explanation:

Calculating Magazine Readership


To find out how many students read at least one magazine and how many read none of these three magazines, we can use the Principle of Inclusion-Exclusion.



Given Data:



  • Number of students surveyed: 100

  • Readers of Time Magazine (A): 40% of 100 = 40

  • Readers of News Paper (B): 30% of 100 = 30

  • Readers of US News (C): 25% of 100 = 25

  • Readers of both Time Magazine and News Paper (A ∩ B): 15%

  • Readers of both Time Magazine and US News (A ∩ C): 12%

  • Readers of both News Paper and US News (B ∩ C): 10%

  • Readers of all three magazines (A ∩ B ∩ C): 4%



Steps to Calculate Who Read At Least One Magazine:



  2. Calculate the number of students who read at least one magazine using the inclusion-exclusion principle:

    At least one = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|


    Substituting the values:
    |A| = 40, |B| = 30, |C| = 25, |A ∩ B| = 15, |A ∩ C| = 12, |B ∩ C| = 10, |A ∩ B ∩ C| = 4


    At least one = 40 + 30 + 25 - 15 - 12 - 10 + 4 = 62 students

  4. The number of students who read none of these magazines is calculated by subtracting the number of students who read at least one from the total:
    None = Total Students - Students who read at least one = 100 - 62 = 38.


Therefore, out of 100 students surveyed:



  • 62 students read at least one magazine.

  • 38 students read none of these three magazines.


Learn more about magazine readership here:

https://brainly.com/question/52045773


Thanks for taking the time to read A survey of 100 college students who frequently read university related material revealed the following results a 40 read Time Magazine b 30 read Newspaper. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada