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Educational attainment of couples. The table below shows

OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel ISBN: 9781943450039 86

Solution for problem 2.11 Chapter 2

OpenIntro Statistics | 3rd Edition

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OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel

OpenIntro Statistics | 3rd Edition

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Problem 2.11

Educational attainment of couples. The table below shows the distribution of education level attained by US residents by gender based on data collected during the 2010 American Community Survey.60 Gender Male Female Less than 9th grade 0.07 0.13 9th to 12th grade, no diploma 0.10 0.09 Highest HS graduate (or equivalent) 0.30 0.20 education Some college, no degree 0.22 0.24 attained Associates degree 0.06 0.08 Bachelors degree 0.16 0.17 Graduate or professional degree 0.09 0.09 Total 1.00 1.00 (a) What is the probability that a randomly chosen man has at least a Bachelors degree? (b) What is the probability that a randomly chosen woman has at least a Bachelors degree? (c) What is the probability that a man and a woman getting married both have at least a Bachelors degree? Note any assumptions you must make to answer this question. (d) If you made an assumption in part (c), do you think it was reasonable? If you didnt make an assumption, double check your earlier answer and then return to this part.

Step-by-Step Solution:

Problem 2.11

Educational attainment of couples. The table below shows the distribution of education level attained by US residents by gender based on data collected during the 2010 American Community Survey.60 Gender Male Female Less than 9th grade 0.07 0.13 9th to 12th grade, no diploma 0.10 0.09 Highest HS graduate (or equivalent) 0.30 0.20 education Some college, no degree 0.22 0.24 attained Associates degree 0.06 0.08 Bachelors degree 0.16 0.17 Graduate or professional degree 0.09 0.09 Total 1.00 1.00

(a) What is the probability that a randomly chosen man has at least a Bachelor's degree?

(b) What is the probability that a randomly chosen woman has at least a Bachelor's degree?

(c) What is the probability that a man and a woman getting married both have at least a Bachelor's degree? Note any assumptions you must make to answer this question.

(d) If you made an assumption in part (c), do you think it was reasonable? If you didnt make an assumption, double check your earlier answer and then return to this part.

                                                             Step by Step Solution

Step 1 of 4

(a)

The table shows the distribution of education level attained by US residents by gender.The probability that a randomly chosen man has at least a Bachelor's degree can be written as, P(at least Bachelor’s Degree in men), ie;

P(at least Bachelor’s Degree in Men) = P(Bachelor’s Degree) + P(Graduate or professional degree)

P(at least Bachelor’s Degree in Men) = 0.16 + 0.09 = 0.25.

Step 2 of 4

Chapter 2, Problem 2.11 is Solved
Step 3 of 4

Textbook: OpenIntro Statistics
Edition: 3
Author: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel
ISBN: 9781943450039

OpenIntro Statistics was written by and is associated to the ISBN: 9781943450039. The full step-by-step solution to problem: 2.11 from chapter: 2 was answered by , our top Statistics solution expert on 09/09/17, 04:01AM. Since the solution to 2.11 from 2 chapter was answered, more than 829 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: OpenIntro Statistics, edition: 3. The answer to “Educational attainment of couples. The table below shows the distribution of education level attained by US residents by gender based on data collected during the 2010 American Community Survey.60 Gender Male Female Less than 9th grade 0.07 0.13 9th to 12th grade, no diploma 0.10 0.09 Highest HS graduate (or equivalent) 0.30 0.20 education Some college, no degree 0.22 0.24 attained Associates degree 0.06 0.08 Bachelors degree 0.16 0.17 Graduate or professional degree 0.09 0.09 Total 1.00 1.00 (a) What is the probability that a randomly chosen man has at least a Bachelors degree? (b) What is the probability that a randomly chosen woman has at least a Bachelors degree? (c) What is the probability that a man and a woman getting married both have at least a Bachelors degree? Note any assumptions you must make to answer this question. (d) If you made an assumption in part (c), do you think it was reasonable? If you didnt make an assumption, double check your earlier answer and then return to this part.” is broken down into a number of easy to follow steps, and 172 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 8 chapters, and 376 solutions.

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Educational attainment of couples. The table below shows