According to the 2011-2012 APPA National Pet Owners Survey, approximately 33% of

Question

According to the 2011-2012 APPA National Pet Owners Survey, approximately 33% of all U.S. households own a cat and 39% of all U.S. households own a dog. Supoose 1-% of all U.S. households own both a cat and dog.

a.) Carefully sketch a Venn diagram with probablitities to illustrate the relationship between the two events C= household owns cats, and D= household owns a dog.

b.) What is the probability that a randomly selected US household owns a cat or a dog?

c.) What is the probability that a randomly selected household owns neither a cat nor a dog?

d.) What is the probability that the US household owns a cat?

Explanation / Answer

a)

b) P(cat or dog) = P(cat) + P(dog) - P(cat and dog)

= .33 + .39 - .01

= .71

c) P(neither a cat nor a dog_ = 1 - P(cat or dog)

= 1 - .71

= .29

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