(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 0.52. (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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### Survey Results Analysis

The survey results table presents data on participation in a retirement savings plan among 500 workers, divided evenly between 250 males and 250 females.

#### Table Breakdown

- **Contribute to Plan:**
  - **Male:** 130
  - **Female:** 139
  - **Total Contributors:** 269

- **Do Not Contribute to Plan:**
  - **Male:** 120
  - **Female:** 111
  - **Total Non-Contributors:** 231

- **Overall Total:**
  - **Male Participants:** 250
  - **Female Participants:** 250
  - **Combined Total:** 500

This data is crucial for understanding gender-based trends in retirement savings plan participation within the surveyed group.
Transcribed Image Text:### Survey Results Analysis The survey results table presents data on participation in a retirement savings plan among 500 workers, divided evenly between 250 males and 250 females. #### Table Breakdown - **Contribute to Plan:** - **Male:** 130 - **Female:** 139 - **Total Contributors:** 269 - **Do Not Contribute to Plan:** - **Male:** 120 - **Female:** 111 - **Total Non-Contributors:** 231 - **Overall Total:** - **Male Participants:** 250 - **Female Participants:** 250 - **Combined Total:** 500 This data is crucial for understanding gender-based trends in retirement savings plan participation within the surveyed group.
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.

(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 0.52. (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.)

Instructions for viewing the survey results are given: "Click the icon to view the survey results."

The interface provides options for mathematical operations and tools, represented by symbols at the bottom of the image (e.g., fraction, root, summation, etc.). 

The survey results need to be viewed to complete the calculations for the second probability question.
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. (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 0.52. (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.) Instructions for viewing the survey results are given: "Click the icon to view the survey results." The interface provides options for mathematical operations and tools, represented by symbols at the bottom of the image (e.g., fraction, root, summation, etc.). The survey results need to be viewed to complete the calculations for the second probability question.
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