In a survey of 114 pet owners, 70 said they own a dog, and 15 sald they own a cat. 11 sald they ownboth a dog and a cat. How many owned a cat but not a dog?Answer =owners

Name: In a survey of 114 pet owners, 70 said they own a dog, and 15 sald th
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Description: In a survey of 114 pet owners, 70 said they own a dog, and 15 sald they own a cat. 11 sald they ownboth a dog and a cat. How many owned a cat but not a dog?Answer =owners

Answered: In a survey of 114 pet owners, 70 said…

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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In a survey of 114 pet owners, 70 said they own a dog, and 15 sald they own a cat. 11 sald they own
both a dog and a cat. How many owned a cat but not a dog?
Answer =
owners

Expert Solution

Step 1

Given Information:

In a survey of 114 pet owners.

70 said they own a dog

15 said they own a cat

11 said they own both a dog and a cat.

To find the number of owners who owned a cat but not a dog:

Let D denote the event that an owner owns a Dog.

Let C denote the event that an owner owns a Cat.

Then, $n (D) = 70$ ; $n (C) = 15$ and $n (D a n d C) = 11$

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