Answered: . Construct a Venn diagram to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

100%

A. Construct a Venn diagram to represent your assigned problem. Include capital letter labels for all sets and indicate what each label represents.

B. Use the set notation symbols (∪,',∩) and set labels from part A to express each of the following sets:

• elements in both Group 1 and Group 2

• elements in Group 2 but not Group 1

• elements in Group 1 or Group 2

• elements in neither Group 1 nor Group 2

C. Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:

• elements in both Group 1 and Group 2

• elements in Group 2 but not Group 1

• elements in Group 1 or Group 2

• elements in neither Group 1 nor Group 2

Part 1 Transcript records of 2,538 college first-years were examined.
Let the following subsets be defined:
Group 1: the set of students who completed philosophy
Group 2: the set of students who completed chemistry
The records show 2,001 students completed philosophy and 1,064 students completed chemistry. The records also show that 1,333 of those who took
philosophy did not take chemistry.

Expert Solution

Step 1

The set symbols are represented below:

$\cup r e p r e s e n t s U n i o n \cap r e p r e s e n t s I n t e r s e c t i o n' r e p r e s e n t s C o m p l e m e n t$

Union describes the all elements of Either set A or Set B

Intersection describes the common elements of both set A and set B

Complement of set A describes the elements that are not in set A

The number of elements in a set is called Cardinality. For example, the number of elements in set A is called cardinality of A and is denoted as n(A).