2.) A group of students in a mathematics class were asked whether they participated in the past 3 presidential elections (2020, 2016, and 2012). The results are as follows. There are 40 students who participated in the survey. 28 said they voted in 2020. (A) 20 said they voted in 2016. (B) • 6 said they voted in 2012. (C) • • 16 said they voted in both 2020 and 2016. 4 said they voted in both 2016 and 2012. • 3 said they voted in both 2020 and 2012. 3 said they voted in all three elections. • • • d.) How many people voted in exactly one of these elections? e.) How many participants voted in 2020 and 2016 but NOT 2012? f.) Why do you think so few participants voted in the 2012 election in this survey?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please make sure answers are clear n easy to read. Please do it on white paper. Again make sure the answer is clear. I NEED D,E AND F

2.) A group of students in a mathematics class were asked whether they participated in the past 3
presidential elections (2020, 2016, and 2012). The results are as follows.
•
•
•
•
•
There are 40 students who participated in the survey.
28 said they voted in 2020. (A)
20 said they voted in 2016. (B)
6 said they voted in 2012. (C)
16 said they voted in both 2020 and 2016.
4 said they voted in both 2016 and 2012.
•
3 said they voted in both 2020 and 2012.
• 3 said they voted in all three elections.
d.) How many people voted in exactly one of these elections?
e.) How many participants voted in 2020 and 2016 but NOT 2012?
f.) Why do you think so few participants voted in the 2012 election in this survey?
Transcribed Image Text:2.) A group of students in a mathematics class were asked whether they participated in the past 3 presidential elections (2020, 2016, and 2012). The results are as follows. • • • • • There are 40 students who participated in the survey. 28 said they voted in 2020. (A) 20 said they voted in 2016. (B) 6 said they voted in 2012. (C) 16 said they voted in both 2020 and 2016. 4 said they voted in both 2016 and 2012. • 3 said they voted in both 2020 and 2012. • 3 said they voted in all three elections. d.) How many people voted in exactly one of these elections? e.) How many participants voted in 2020 and 2016 but NOT 2012? f.) Why do you think so few participants voted in the 2012 election in this survey?
Expert Solution
Step 1

Given the survey results of participation in the past 3 presidential elections (2020, 2016, and 2012) among a group of mathematics class students.

Number of participants in the survey=40

Number of participants voted in 2020, A=28

Number of participants voted in 2016, B=20

Number of participants voted in 2012, C=6

Number of participants voted in both 2020 and 2016, AB=16

Number of participants voted in both 2016 and 2012, BC=4

Number of participants voted in both 2020 and 2012, AC=3

Number of participants voted in all three elections, ABC=3

 

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