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.
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.)
Contribute Do not contribute
Male 104 146
Female 134 116
b).The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work is :-
= number of female worker contributes to a retirement savings plan at work / total number of workers who worker contributes to a retirement savings plan at work.
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