The accompanying table shows the results of a survey in which 250 250 male and 250 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts​ (a) and​ (b) below.​(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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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The accompanying table shows the results of a survey in which 250 250 male and 250 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts​ (a) and​ (b) below. ​(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.)
ey results.
omly selected worker contributes to a retirement savings plan at work, given that the wc
ooted wocker.contributos to a rotiroment savinas nlan at work aivon that the workor is r
O Survey Results
Contribute
Do not contribute
Total
Male
101
149
250
Female
138
112
250
Total
239
261
500
Print
Done
e answer boxes.
Show All (28)
étv
MacBoo
Transcribed Image Text:ey results. omly selected worker contributes to a retirement savings plan at work, given that the wc ooted wocker.contributos to a rotiroment savinas nlan at work aivon that the workor is r O Survey Results Contribute Do not contribute Total Male 101 149 250 Female 138 112 250 Total 239 261 500 Print Done e answer boxes. Show All (28) étv MacBoo
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