dog, cat, and intersection A survey was made of 200 pet owners who frequent a pet store. It was found that 126 homes had cats living there, while 118 had dogs living in the home. There were 68 homes with both dogs and cats. a) Find the probability there is a cat in the house given that a dog lives there. P(cat | dog) b) Find the probability there is a dog in the house given that there is NOT a cat living there. P(dog | no cat) c) Explain why the events A--dog lives in the house and B--cat lives in the house are dependent events.

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dog, cat, and intersection
A survey was made of 200 pet owners who frequent a pet store.
It was found that 126 homes had cats living there, while 118 had dogs living in the home.
There were 68 homes with both dogs and cats.
a) Find the probability there is a cat in the house given that a dog lives there.
P(cat | dog)
b) Find the probability there is a dog in the house given that there is NOT a cat living there.
P(dog | no cat)
c) Explain why the events A--dog lives in the house and B--cat lives in the house are dependent events.
Transcribed Image Text:dog, cat, and intersection A survey was made of 200 pet owners who frequent a pet store. It was found that 126 homes had cats living there, while 118 had dogs living in the home. There were 68 homes with both dogs and cats. a) Find the probability there is a cat in the house given that a dog lives there. P(cat | dog) b) Find the probability there is a dog in the house given that there is NOT a cat living there. P(dog | no cat) c) Explain why the events A--dog lives in the house and B--cat lives in the house are dependent events.
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