Question

10. Use the table below. The Bureau of Labor Statistics reports on a variety of employment statistics. "College Enrollment and Work Activity of 2004 High School Graduates" provides information on high school graduates by gender, by race, and by labor force participation as of October 2004 (All numbers are in thousands.) The following two tables provide information on the "Labor force status of persons 16 to 24 years old by educational attainment and gender, October 2004. Using the information contained in the tables, do Exercises 4.58 through 4.62 DS LabForce Women, Age Civilian Labor Force Not in Labor Men, Age Civilian Labor Force Not in Labor 16 to 24 Employed Unemployed Force Row Total 16 to 24 Employed Unemployed Force Row Total < High School 662 205 759 1,626 <High School 1,334 334 472 2,140 HS degree 2,050 334 3,265 HS degree 3.110 429 438 3,977 Some college 1,352 126 321 1.799 Some college 1,425 106 126 1,657 Bachelors Bachelors degree or more 921 105 1,081 degree or more 708 783 Column Total 4,985 2,066 7,771 Column Total 6.577 1,074 8.557 881 37 906 What is the probability of a woman to be employed if she is in the civilian labor force? (1 point) What is the probability of a woman to be employed if she is in the civilian labor force and also has at least some college (or more)? (2 points)

Answer 1

The probability of a woman employed = 4985/(4985+720) = 0.874

The probability of a woman employed = (1352+921)/(4985+720) = 0.398

No, employment is not independent of education for women in the civilian labor force. For example:

The probability of women employed who is in the civilian labor force who has some college degree = 1352/(4985+720) = 0.237

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