A government agency has 200 employees. The table below collects data on the marital status of the 200 employees. Male Female Single 20 30 Married 100 50 'What is the probability of selecting a married male employee? If an employee is female, what is the probability that she is single? What is the probability of selecting a female employee? | Are gender and marital status independent? Explain using probabilities.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Marital Status Data of Employees**

A government agency has 200 employees. The table below shows the distribution of employees by gender and marital status.

| Marital Status | Male | Female |
|----------------|------|--------|
| Single         | 20   | 30     |
| Married        | 100  | 50     |

**Questions:**

1. What is the probability of selecting a married male employee?

2. If an employee is female, what is the probability that she is single?

3. What is the probability of selecting a female employee?

4. Are gender and marital status independent? Explain using probabilities.
Transcribed Image Text:**Marital Status Data of Employees** A government agency has 200 employees. The table below shows the distribution of employees by gender and marital status. | Marital Status | Male | Female | |----------------|------|--------| | Single | 20 | 30 | | Married | 100 | 50 | **Questions:** 1. What is the probability of selecting a married male employee? 2. If an employee is female, what is the probability that she is single? 3. What is the probability of selecting a female employee? 4. Are gender and marital status independent? Explain using probabilities.
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