2) The table below shows the results of some random high school students about their pets. Own a Dog Do not own a Dog Total Own a Cat 25 16 41 Do not own a Cat 17 26 Total 42 25 67 a) Take the values from the two-way table above and put them in the following Venn Diagram. Be sure to label the circles. Own a dog Qwn a cat 25 17 16 9 b) Suppose that we randomly choose a student. Find the following probabilities. Pr(Own a dog) = 62% Pr(Own a cat) = 61% Pr(not owning a dog) = 37% Pr(not owing a cat) = 38% %3D Pr(own a dog and not a cat) = 25% Pr(own a cat and not a dog) = 23% c) Are the events "do not own a dog" and "do not own a cat" mutually exclusive? Explain.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 20E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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Can someone explain letter C to me I don't understand what it's asking.

2) The table below shows the results of some random high school students about their pets.
Own a Dog Do not own a Dog Total
Own a Cat
25
16
41
Do not own a Cat
17
26
Total
42
25
67
a) Take the values from the two-way table above and put them in the following Venn Diagram.
Be sure to label the circles.
Own a
dog
Qwn a
cat
25
17
16
9
b) Suppose that we randomly choose a student. Find the following probabilities.
Pr(Own a dog) = 62%
Pr(Own a cat) = 61%
Pr(not owning a dog) = 37%
Pr(not owing a cat) = 38%
%3D
Pr(own a dog and not a cat) = 25%
Pr(own a cat and not a dog) = 23%
c) Are the events "do not own a dog" and "do not own a cat" mutually exclusive? Explain.
Transcribed Image Text:2) The table below shows the results of some random high school students about their pets. Own a Dog Do not own a Dog Total Own a Cat 25 16 41 Do not own a Cat 17 26 Total 42 25 67 a) Take the values from the two-way table above and put them in the following Venn Diagram. Be sure to label the circles. Own a dog Qwn a cat 25 17 16 9 b) Suppose that we randomly choose a student. Find the following probabilities. Pr(Own a dog) = 62% Pr(Own a cat) = 61% Pr(not owning a dog) = 37% Pr(not owing a cat) = 38% %3D Pr(own a dog and not a cat) = 25% Pr(own a cat and not a dog) = 23% c) Are the events "do not own a dog" and "do not own a cat" mutually exclusive? Explain.
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