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. E 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 randomlly 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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.
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
(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.)
Transcribed Image Text: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. 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 (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.)
Survey Results
Contribute
Do not contribute
Total
Male
Female
117
133
250
140
110
250
Total
257
243
500
Print
Done
Transcribed Image Text:Survey Results Contribute Do not contribute Total Male Female 117 133 250 140 110 250 Total 257 243 500 Print Done
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