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1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. • 250 of the students surveyed are enrolled in a natural science course. • 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. • 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. • 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course. Questions to Address: 1. Using a Venn Diagram, determine how many students fall into each of these categories. 2. Using set notation, label each region. For instance, HO NO§ would be the set of all students who are taking a humanities course and a natural science course, but who are not taking a social science course. This is a fun problem! We may not all agree on the values we come up with, though there is only one correct solution. The goal is for us to learn to make clear judgments about information and to use the idea of sets and Venn Diagrams to sort through it.

1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. • 250 of the students surveyed are enrolled in a natural science course. • 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. • 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. • 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course. Questions to Address: 1. Using a Venn Diagram, determine how many students fall into each of these categories. 2. Using set notation, label each region. For instance, HO NO§ would be the set of all students who are taking a humanities course and a natural science course, but who are not taking a social science course. This is a fun problem! We may not all agree on the values we come up with, though there is only one correct solution. The goal is for us to learn to make clear judgments about information and to use the idea of sets and Venn Diagrams to sort through it.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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COLLEGE ADMISSIONS OFFICE ENROLL NOW Suppose you are contacted by the Dean of Enrollment at Arizona State University. A survey was taken of students at the university concerning their enrollment in liberal arts courses. Each of the 600 students was asked to answer yes or no to each of the questions: 1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. 250 of the students surveyed are enrolled in a natural science course. 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. • 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. • 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course.
Transcribed Image Text:COLLEGE ADMISSIONS OFFICE ENROLL NOW Suppose you are contacted by the Dean of Enrollment at Arizona State University. A survey was taken of students at the university concerning their enrollment in liberal arts courses. Each of the 600 students was asked to answer yes or no to each of the questions: 1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. 250 of the students surveyed are enrolled in a natural science course. 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. • 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. • 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course.
1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. • 250 of the students surveyed are enrolled in a natural science course. • 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course. Questions to Address: 1. Using a Venn Diagram, determine how many students fall into each of these categories. 2. Using set notation, label each region. For instance, H ONOS Would be the set of all students who are taking a humanities course and a natural science course, but who are not taking a social science course. This is a fun problem! We may not all agree on the values we come up with, though there is only one correct solution. The goal is for us to learn to make clear judgments about information and to use the idea of sets and Venn Diagrams to sort through it.
Transcribed Image Text:1. Are you enrolled in a humanities course? 2. Are you enrolled in a natural science course? 3. Are you enrolled in a social science course? The following data from the survey have been tabulated on all students surveyed. • 250 of the students surveyed are enrolled in a natural science course. • 100 are enrolled both in a humanities course and a social science course. 130 are enrolled in a natural science course but not in a humanities course. 120 are enrolled only in a social science course. • 30 are enrolled in all three course areas. 270 are enrolled in a social science course. • 300 are enrolled in only one of the three areas. The dean would like to better understand this data, as it is a bit messy. Namely, he would like to know how many students fit into each course category. More formally, if we think about the ordered triple (or tuple as it is called in Python programming), (humanities, natural science, social science) as consisting of either "yes" or "no", then (yes,yes,no) would exemplify the group of students who are taking a humanities course and a natural science course, but who are not taking a social science course. Questions to Address: 1. Using a Venn Diagram, determine how many students fall into each of these categories. 2. Using set notation, label each region. For instance, H ONOS Would be the set of all students who are taking a humanities course and a natural science course, but who are not taking a social science course. This is a fun problem! We may not all agree on the values we come up with, though there is only one correct solution. The goal is for us to learn to make clear judgments about information and to use the idea of sets and Venn Diagrams to sort through it.
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Can you explain how you got those values in the venn diagram?

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