The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts​ (a) and​ (b) below. LOADING... Click the icon to view the survey results.
​(a) Find the probability that a randomly selected worker contributes 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
nothing.
​(Round to three decimal places as​ needed.)
​(b) Find the probability that a randomly selected worker is​ female, given that the worker contributes to a retirement savings plan at work.
The probability that a randomly selected worker is​ female, given that the worker contributes to a retirement savings plan at​ work, is
nothing.
​(Round to three decimal places as​ needed.)