Civilian Labor Force (in millions) Males Females Employed 11.2 10.3 Unemployed 1

ID: 3271106 • Letter: C

Question

Civilian Labor Force (in millions)

Males

Females

Employed

11.2

10.3

Unemployed

1.6

1.4

a.) What is the probability of randomly selecting an individual that was employed from the civilian work force?

b.) What is the probability of randomly selecting an individual that is female from the civilian work force?

c.) What is the probability of randomly selecting an individual that is female and unemployed from the civilian work force?

d.) What is the probability of randomly selecting an individual that is female or unemployed from the civilian work force?

e.) What is the probability of randomly selecting an individual from the civilian work force that is female given that the individual is unemployed?

f.) What is the probability of randomly selecting an individual from the civilian work force that is unemployed given that the individual is female?

Males

Females

Employed

11.2

10.3

Unemployed

1.6

1.4

a.) What is the probability of randomly selecting an individual that was employed from the civilian work force?

= 21.5/24.5 = 0.88

b.) What is the probability of randomly selecting an individual that is female from the civilian work force?

= 10.3/24.5 = 0.42

c.) What is the probability of randomly selecting an individual that is female and unemployed from the civilian work force?

= (11.7/24.5)*(3/24.5) = 0.48*0.12 = 0.06

d.) What is the probability of randomly selecting an individual that is female or unemployed from the civilian work force?

= (11.7/24.5) + (3/24.5) = 14.7/24.5 = 0.60

e.) What is the probability of randomly selecting an individual from the civilian work force that is female given that the individual is unemployed?

= 1.4/3 = 0.47

f.) What is the probability of randomly selecting an individual from the civilian work force that is unemployed given that the individual is female?

= 1.4/11.7 = 0.12

Males Females Total Employed 11.2 10.3 21.5 Unemployed 1.6 1.4 3 Total 12.8 11.7 24.5