In: Statistics and Probability
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.
Contribute Do not contribute total
| 
 Male  | 
 116  | 
 134  | 
 250  | 
|---|---|---|---|
Female 160 90. 250
total 276 274 500
(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.)