Question

The accompanying the shows the results of a survey in which 250 male and 260 temale workers 10 25 to 4 were asked if they coverte to a retirement sering plan at work. Complete parte del and below the icon to view the survey results Find the probability that a randomly selected worker contributes to a retirement savings at work in the workers The probability that a randomly selected worker contributes to a retirement saving plan at work, ven that the water is made (Round to three decimal places as needed) b) Find the probability that a randomly selected wonder is female given that the worker contributes to a retirement savings planetwork The probability that a randomly selected worker is female, given that the worker contributes to a retirement saving plan at work. Round to the decimal places as needed)

Answer 1

Contribute Total Do not Contribute Male 250 145 female 146 Toy 280 Total 257 2ng worker a) pl Rondomly selected contributes & given that the is male) p (contribute I Male) C Contribute na male) Rage's 's theorem Planche) P P Worker is contorbuy thing & the workiz is moke) pl worker is male ) 105 los males contribute goo Total 250 males los 250 O. 420

b PC Worker is female given that worker contributes P ( Female I Contributi) (female A Contribute) eleontábuite 146 Soo Total female contribution 2146 257 soo Total contributor = 251) 146 0.582 281

Answer 2

SOLUTION :

a.

P (Contributes | Male ) 

= 105/250

(Contriibutors in Male space)

= 0.420 (ANSWER)

b.

P (Female | Contrbuors) 

= 146 / 251

(Female in Contributors space)

= 0.582 (ANSWER)