ipahying 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 retireme avings plan at work. Complete parts (a) and (b) below. E Click the icon to view the survey results. ) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. ne probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is 0.408. Cound to three decimal places as needed.) ) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. ne probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is 0.564. Cound 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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Can you please check my work

Contribute
Do not contribute
Total
Male
102
148
250
Female
132
118
250
Total
234
266
500
Transcribed Image Text:Contribute Do not contribute Total Male 102 148 250 Female 132 118 250 Total 234 266 500
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 retiremer
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 randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is 0.408.
(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 0.564.
(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 retiremer 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 randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is 0.408. (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 0.564. (Round to three decimal places as needed.)
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