Cat Ownership According to the American Pet Products Manufacturers Association’s 2017-2018 National Pet Owners Survey , there is a 38% probability that a U.S. household owns a cat. If a U.S. household is randomly selected, what is the probability that it does not own a cat?
Cat Ownership According to the American Pet Products Manufacturers Association’s 2017-2018 National Pet Owners Survey , there is a 38% probability that a U.S. household owns a cat. If a U.S. household is randomly selected, what is the probability that it does not own a cat?
Solution Summary: The author calculates the probability that a U.S. household doesn't own cat, based on the American Pet Products Manufacturers Association's 2017-2018 National Pet Owners Survey.
Cat Ownership According to the American Pet Products Manufacturers Association’s 2017-2018 National Pet Owners Survey, there is a 38% probability that a U.S. household owns a cat. If a U.S. household is randomly selected, what is the probability that it does not own a cat?
Expert Solution & Answer
To determine
To calculate: The probability that a U.S. household does not own a cat when there was a 38% probability that a U.S. household owns a cat.
Answer to Problem 53AYU
Solution:
The probability that a U.S. household does not own a catis 0.62.
Explanation of Solution
Given information:
According to the American Pet Products Manufacturers Association’s 2017−2018 National Pet Owners Survey, there was a 38% probability that a U.S. household owns a cat.
Formula used:
If E represents any event and E¯ represents the complement of event E, then the probability of complement event will be,
P(E¯)=1−P(E)
Calculation:
Let, event E denote a U.S. household owns a pet.
And, event E¯ denotes a U.S. household does not own a cat.
Since, 38% probability that a U.S. household owns a cat, so P(E)=38%=0.38.
Using the formula for probability of complement of an event, P(E¯)=1−P(E).
Hence, P(E¯)=1−0.38
⇒P(E¯)=0.62
Therefore, the probability that a U.S. household does not own a cat is 0.62.
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