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 0.444. (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.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Survey Results
Male
Female
Total
Contribute
111
143
254
Print
Do not contribute
139
107
246
Done
Total
250
250
500
T
X
Transcribed Image Text:Survey Results Male Female Total Contribute 111 143 254 Print Do not contribute 139 107 246 Done Total 250 250 500 T X
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 0.444.
(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 0.444. (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.)
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