what is the probability that a couple, chosen at random, together, earn between 2,000,000 and 3,500,000 (included)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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In a certain company, the salary of men can take the values ​​of 1,000,000, 1,500,000, 2,000,000 and 2,500,000. Women can enjoy the following salaries: 500,000, 1,000,000, 1,500,000 and 2,000,000.

Assuming that the percentage of men earning each of the values ​​is the same, and the same relative to women, and that men's wages are independent of women's wages, what is the probability that a couple, chosen at random, together, earn between 2,000,000 and 3,500,000 (included)?

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