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54% of all the town's residents own a dog and 66% own a cat. Of the town resident is chosen at random find: (round to 4 decimal places a. P(Own a Dog) = %3D b. P(Own a Cat) = c. P(Own a Cat and a Dog) d. P(Own a Dog GIVEN Own a Cat) =

54% of all the town's residents own a dog and 66% own a cat. Of the town resident is chosen at random find: (round to 4 decimal places a. P(Own a Dog) = %3D b. P(Own a Cat) = c. P(Own a Cat and a Dog) d. P(Own a Dog GIVEN Own a Cat) =

MATLAB: An Introduction with Applications
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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The image contains a probability problem related to pet ownership in a town. Here's the transcription and explanation: --- **Problem Statement:** - 54% of all the town's residents own a dog. - 66% own a cat. - Of the dog owners, 43% also own a cat. If a town resident is chosen at random, find (round to 4 decimal places where possible): a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) = --- **Explanation:** The problem is set up to explore the probabilities involving the ownership of dogs and cats within a town, using overlapping percentages. The task involves calculating different probabilities of owning pets based on the provided data. The user is expected to fill in the answers for each probability calculation. The text mentions the use of conditional probability, which is indicated by question (d), "P(Own a Dog GIVEN Own a Cat)". The notation suggests a conditional probability where the probability of owning a dog is calculated, provided the individual is known to own a cat. A "Submit Question" button is present, implying that the answers can be checked or submitted electronically. Note: There are no diagrams or graphs in this image.
Transcribed Image Text:The image contains a probability problem related to pet ownership in a town. Here's the transcription and explanation: --- **Problem Statement:** - 54% of all the town's residents own a dog. - 66% own a cat. - Of the dog owners, 43% also own a cat. If a town resident is chosen at random, find (round to 4 decimal places where possible): a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) = --- **Explanation:** The problem is set up to explore the probabilities involving the ownership of dogs and cats within a town, using overlapping percentages. The task involves calculating different probabilities of owning pets based on the provided data. The user is expected to fill in the answers for each probability calculation. The text mentions the use of conditional probability, which is indicated by question (d), "P(Own a Dog GIVEN Own a Cat)". The notation suggests a conditional probability where the probability of owning a dog is calculated, provided the individual is known to own a cat. A "Submit Question" button is present, implying that the answers can be checked or submitted electronically. Note: There are no diagrams or graphs in this image.
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