What is the probability that a city in New York State was founded before 1900 and has a population larger than 20,000 people?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Out of all the cities in New York State, about 64.5% of them were founded before the year 1900 and roughly 48.4% have a population larger than 20,000 people.  Among the cities with a population larger than 20,000, the probability that the city was founded before the year 1900 is 0.832.

 

What is the probability that a city in New York State was founded before 1900 and has a population larger than 20,000 people?  Round your answer to the nearest thousandth.

 

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