Question

The employment figures for a small town are given below employed male 240, employed female 80 , employed total 320 unemployed male 30, female 210, total 240 total 270 290 560 a.)If two people are chosen at random, one after another with replacement, find the proba-bility that the first is male and the second is employed. b.)If two people are chosen at random, one after another without replacement, find the probability that the first person is female and the second person is an unemployed male. c.)Find the probability that a person chosen is female given that you know they’re unem-ployed. D.)Find the probability that a person chose is employed given that you know they’re male.

Answer 1

	Male	female	total
Employed	240	80	320
Unemployed	30	210	240
Total	270	290	560

a) the proba-bility that the first is male and the second is employed(with replacement)

= (270/560)× (320/560)= 0.275

B) probability that the first person is female and the second person is an unemployed male(without replacement)

= (290/560)(240/559)

= 0.479

C) Find the probability that a person chosen is female given that you know they’re unem-ployed

(210/560)/(240/560)= 0.875

D).)Find the probability that a person chose is employed given that you know they’re male.

= (240/560)/(270/560)

= 0.889