Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”:   Yes No Totals Men 106 141 247 Women 92 161 253 Totals 198 302 500   2. Develop the joint probability table for these data and use it to answer the following questions. 3. What are the marginal probabilities? 4. What is the probability of living with family given you are an 18 to 34 year old man in the U.S.? 5. What is the probability of living with family given you are 18 to 34 year old woman in the U.S.?

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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Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”:

  Yes No Totals
Men 106 141 247
Women 92 161 253
Totals 198 302 500

 

2. Develop the joint probability table for these data and use it to answer the following questions.

3. What are the marginal probabilities?

4. What is the probability of living with family given you are an 18 to 34 year old man in the U.S.?

5. What is the probability of living with family given you are 18 to 34 year old woman in the U.S.?

6. What is the probability of an 18 to 34 year old in the U.S. living with family?

7. If, in the U.S., 49.4% of 18 to 34 year olds are male, do you consider this a good representative sample? Why? 

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