Question

In: Statistics and Probability

The accompanying table shows the results of a survey in which 250 male and 250 female...

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.)

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