SOLUTION: According to a government statistics​ department, 19.3​% of women in a country aged 25 years or older have a​ Bachelor's Degree; 17.2​% of women in the coun
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-> SOLUTION: According to a government statistics​ department, 19.3​% of women in a country aged 25 years or older have a​ Bachelor's Degree; 17.2​% of women in the coun
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Question 1068925: According to a government statistics department, 19.3% of women in a country aged 25 years or older have a Bachelor's Degree; 17.2% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 19.8% have never married. Complete parts (a) and (b) below.
(a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability.
You can put this solution on YOUR website! a) B = having Bachelor's degree
NM = never married
p(B) = 19.3% = 0.193
p(NM) = 17.2% = 0.172
p(B and NM) = 22.2% of 17.2 = 3.82% = 0.0382
Also p(B and NM) = 19.8% of 19.3 = 3.82% = 0.0382
p(B) x p(NM) = 0.193 x 0.172 = 0.0332
p(B) x p(NM) is not equal to p(B and NM)
Therefore the events "have a Bachelor's Degree" and "never married" not independent.
b) 0.0382 o
It means there are 3.82% of women in the country aged 25 years or older who have a bachelor's degree and who are never married.
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