According to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% 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, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below. (a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain. The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is by the occurrence of the event "have a Bachelor's Degree", so the events are not independent. (b) 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. The probability is (Round to three decimal places as needed.) affected

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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According to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% 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, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or
older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below.
(a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected
by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.
(b) 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.
The probability is
(Round to three decimal places as needed.)
Transcribed Image Text:According to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% 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, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below. (a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain. The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent. (b) 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. The probability is (Round to three decimal places as needed.)
According to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% 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, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or
older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below.
(a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected
by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.
(b) 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.
The probability is
(Round to three decimal places as needed.)
Transcribed Image Text:According to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% 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, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below. (a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain. The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent. (b) 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. The probability is (Round to three decimal places as needed.)
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