Explanation Given Information: The survey of 400 people was taken to know about an upcoming sale, 180 from the Internet 190 from television 190 from newspapers 80 from the Internet and television 90 from the Internet and newspapers 50 from television and newspapers 30 from all three sources Formula used: The Venn diagram for three sets R, S and T divides universal set U into eight regions, In this region I contains all three sets, region II contains set R and S , region III contains set S and T , region IV contains set R and T , region V contains only set R , region VI contains only set S and region VII contains only set T . Calculation: Consider the details given about the survey, In order to find that how many people learned of the sale from at least two of the three media, Firstly, the sets of the data are to be defined; U = { 400 people were surveyed } I = { people learned about sale from the Internet } T = { people learned about the sale from the Television } N = { people learned about the sale from the Newspaper } So, n ( U ) = 400 , n ( I ) = 180 , n ( T ) = 190 , n ( N ) = 190 , n ( I ∩ T ) = 80 , n ( I ∩ N ) = 90 , n ( T ∩ N ) = 50 and n ( I ∩ T ∩ N ) = 30 n ( I ∩ T ) = 80 means number of people learned about sales from Internet and Television, n ( T ∩ N ) = 50 means number of people learned about sales from Television and Newspaper, n ( I ∩ N ) = 90 means number of people learned about sales from Internet and Newspaper and n ( I ∩ T ∩ N ) = 30 means number of people learned about sales from all three sources

12th Edition

ISBN: 9781323788707

Author: Goldstein

Publisher: PEARSON

See similar textbooks

Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter 5.3, Problem 42E

To determine

To calculate: The number of people learned of the sale from at least two of the three media if the survey of 400 people was taken to know about an upcoming sale.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 41E

Chapter 5.3, Problem 43E

Students have asked these similar questions

Can you explain how the error term in the CF Algorithm relates to the (m+1)th complete quotient? Also, what would be a good way to explain the connection between these two slides? How can one transition between them for a presentation?

How can I explain the pi example in a presentation? I'm having trouble transitioning between these two slides

McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $895 per set and have a variable cost of $431 per set. The company has spent $200,000 for a marketing study that determined the company will sell 80,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 8,600 sets per year of its high-priced clubs. The high-priced clubs sell at $1,325 and have variable costs of $645. The company will also increase sales of its cheap clubs by 10,800 sets per year. The cheap clubs sell for $340 and have variable costs of $141 per set. The fixed costs each year will be $14,350,000. The company has also spent $1,500,000 on research and development for the new clubs. The plant and equipment required will cost $43,700,000 and will be depreciated on a straight-line basis. The new clubs will also require an increase in net working capital of $3,625,000 that will be returned at the end of the project. The tax rate is 25…

Chapter 5 Solutions

FINITE MATHEMATICS & ITS APPLICATIONS

Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Solutions can be found following the section...Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.