(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 (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 wor 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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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.
Survey Results
Contribute
Do not contribute
Total
Male
118
132
250
Female
141
109
250
Total
259
241
500
Print
Done
Transcribed Image Text:Survey Results Contribute Do not contribute Total Male 118 132 250 Female 141 109 250 Total 259 241 500 Print Done
EClick 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
(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 .
(Round to three decimal places as needed.)
Enter your answer in each of the answer boxes.
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Transcribed Image Text:EClick 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 (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 . (Round to three decimal places as needed.) Enter your answer in each of the answer boxes. ave for Later MacBook Air
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