Suppose one individual is chosen at random from this group of 300 pet owners. a) Find the conditional probability the individual owns a dog given that he or she owns a cat. b) Find the conditional probability the individual owns a cat given that he or she owns a dog. c) Are these two events E 'owns dog' and F'owns cat' dependent events or independent events. Explain why.

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QUESTION 1
Conditional probability
(dogs and catss = same numbers as previous problem)
Among a group of 500 pet owners who visit the same pet store, it is found that 385 have a cat, while 365 have a dog.
There are 295 of these who have both a dog and a cat.
Suppose one individual is chosen at random from this group of 300 pet owners.
a) Find the conditional probability the individual owns a dog given that he or she owns a cat.
b) Find the conditional probability the individual owns a cat given that he or she owns a dog.
c) Are these two events E 'owns dog' and F'owns cat' dependent events or independent events. Explain why.
Transcribed Image Text:QUESTION 1 Conditional probability (dogs and catss = same numbers as previous problem) Among a group of 500 pet owners who visit the same pet store, it is found that 385 have a cat, while 365 have a dog. There are 295 of these who have both a dog and a cat. Suppose one individual is chosen at random from this group of 300 pet owners. a) Find the conditional probability the individual owns a dog given that he or she owns a cat. b) Find the conditional probability the individual owns a cat given that he or she owns a dog. c) Are these two events E 'owns dog' and F'owns cat' dependent events or independent events. Explain why.
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