**Survey on College Courses**A group of 1364 students were surveyed about the courses they were taking at their college, with the following results:- 579 students said they were taking Dance.- 508 students said they were taking Math.- 733 students said they were taking Psychology.- 782 students said they were taking English.- 318 students said they were taking Psychology and Math.- 503 students said they were taking Psychology and English.- 320 students said they were taking Math and Dance.- 321 students said they were taking English and Dance.- 179 students said they were taking Psychology, Math, and English.- 96 students said they were taking Math, English, and Dance.- 207 students said they were taking Psychology, English, and Dance.- 93 students said they were taking Psychology, Math, and Dance.- 46 students said they were taking all four courses.**Venn Diagram**The Venn Diagram provided is a four-set diagram with the subjects labeled as:- Psychology- Math- English- DanceThis diagram is divided into 15 regions marked I through XV, where each region will show the number of students taking certain combinations of courses. These regions are meant to depict the cardinality, or the number of students, in each intersecting section of the courses.**Instructions**Fill in the Venn Diagram using the numbers provided in the survey results, ensuring that each section accurately reflects the combination and number of students for each specific course set or subset. A printable version of this four-set Venn Diagram is available for further use and practice. Here is a transcription of the image text suitable for an educational website:---### Course Enrollment Questionsa) How many students are not taking English & Dance or are taking English & Psychology? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]b) How many students are taking Psychology and Dance, but not English? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]c) How many students are taking Psychology, Math, or Dance? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]d) How many students are not taking Math? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]e) How many students are taking Psychology, Math, and Dance, but not English? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]f) How many students are not taking Math, English, or Dance? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]g) How many students are taking none of the courses? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]h) How many students are taking Math, but not English? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]i) How many students are taking Psychology & Dance or are taking Math & English? \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]--- These questions are designed to help students practice logical reasoning and set theory related to course enrollment scenarios. Encourage students to use Venn diagrams or logical tables to solve these problems effectively.

Name: **Survey on College Courses**A group of 1364 students were surveyed a
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Description: **Survey on College Courses**A group of 1364 students were surveyed about the courses they were taking at their college, with the following results:- 579 students said they were taking Dance.- 508 students said they were taking Math.- 733 students s

Note: As per Bartleby's instruction when more than three questions asked in a subpart only three questions have to be answered. Please upload the other questions separately. No. of students taking all four classes n(P∩M∩E∩D)=46(a) No. of students not taking English and dance or are taking English and Psychology is nE'∪D'∪E∩P=236+503=739 (b) No. of students taking Psychology and Dance but not English nP∪D∪E'=254-161+46=47 (c) No. of students taking Psychology, Math or Dance n(P∪M∪D)=1111

Math

Advanced Math

a) How many students are not taking English & Dance or are taking English & Psychology? b) How many students are taking Psychology and Dance, but not English? c) How many students are taking Psychology, Math, or Dance?

a) How many students are not taking English & Dance or are taking English & Psychology? b) How many students are taking Psychology and Dance, but not English? c) How many students are taking Psychology, Math, or Dance?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

**Survey on College Courses**

A group of 1364 students were surveyed about the courses they were taking at their college, with the following results:

- 579 students said they were taking Dance.
- 508 students said they were taking Math.
- 733 students said they were taking Psychology.
- 782 students said they were taking English.
- 318 students said they were taking Psychology and Math.
- 503 students said they were taking Psychology and English.
- 320 students said they were taking Math and Dance.
- 321 students said they were taking English and Dance.
- 179 students said they were taking Psychology, Math, and English.
- 96 students said they were taking Math, English, and Dance.
- 207 students said they were taking Psychology, English, and Dance.
- 93 students said they were taking Psychology, Math, and Dance.
- 46 students said they were taking all four courses.

**Venn Diagram**

The Venn Diagram provided is a four-set diagram with the subjects labeled as:

- Psychology
- Math
- English
- Dance

This diagram is divided into 15 regions marked I through XV, where each region will show the number of students taking certain combinations of courses. These regions are meant to depict the cardinality, or the number of students, in each intersecting section of the courses.

**Instructions**

Fill in the Venn Diagram using the numbers provided in the survey results, ensuring that each section accurately reflects the combination and number of students for each specific course set or subset.

A printable version of this four-set Venn Diagram is available for further use and practice.

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