Question
Asked Jan 29, 2019
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59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a cat. If a town resident is chosen at a random (round to 4 decimal places where possible)
A . (Own a dog) =
B . (Own a cat) =
C. (Own a cat and a dog )=
D (Own a dog GIVEN own a car)

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Expert Answer

Step 1

Given 59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a cat.

Known Fact:

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Step 2

(a) To find the probability that a randomly selected town resident owns a dog.

Let D be the event that a randomly selected town recident owns a dog.


Let C be the event that a randomly selected town recident owns a cat.

Probability that a randomly selected town recident owns a dog, P(D) = 59%  = 0.59.

Step 3

(b) To find the probability that a randomly selected town recident owns a cat.

Let D be the event that a randomly selected town recident owns a dog.


Let C be the event that a randomly selected town recident owns a cat.

Probability that a randomly selected town recident owns a cat, P(C) = 69%  = 0.69.

...

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