Question

The accompanying table shows the resuts of a survey in which 250 male and 250 female workers ages 25 to 64 were asked Cick the icon to view the survey results they oontribute a reirement savings plan at work Complete parts (a) and (b) below (a) Find the probability that a randomly selectod worker contrbutes to a retirement savings plan at work given that the worker is male The probability that a randomly selected worker contributes to a retirement savings plan at work given that the worker is male, is (Round to theee decimal places as needed) (b) Find the probability that a randomly selected worker is female, given that the worker contributes to a rebirement savings plan at werk The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is (Round to three decimal places as needed.)

Answer 1

(a) The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male is

P(Contributes|Male) = 113 / 250 = 0.452

(b) The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work is

P(Female|Contributes) = 138 / 251 = 0.550

Answer 2

SOLUTION :

a.

P (Contributes | Male ) 

= 113/250

(Contriibutors in Male space)

= 0.452 (ANSWER)

b.

P (Female | Contrbuors) 

= 138 / 251

(Female in Contributors space)

= 0.550  (ANSWER)