SOLUTION: The probability that a person, living in Minneapolis owns a cat is estimated to be 0.141. Find the probability that the ninth person randomly interviewed in Minneapolis is the

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Question 1099690: The probability that a person, living in Minneapolis owns a cat is
estimated to be 0.141. Find the probability that the ninth person
randomly interviewed in Minneapolis is the eighth one to own a cat.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
That's a binomial probability problem 

where:

1. Exactly 7 of the first 8 people interviewed had a cat. 

and

2. The 9th person interviewed owned a cat.

Probability that exactly 7 of the first 8 people interviewed
had a cat

n = 8
p = 0.141
x = 7

0.0000076140713

Probability that the 9th person interviewed had a cat:

That's 0.141

Since it's "and" we multiply the probabilities:

Answer (0.0000076140713)(0.141) = 0.000001073584053

It's extremely unlikely!

Edwin

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