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The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has a master's degree is chosen at random, what is the probability that they are aged 20-29? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 560 1335 351 515 2761Some college 1198 1274 1074 1281 4827Bachelor's degree 1830 1345 988 1634 5797Master's degree 526 949 712 530 2717Total 4114 4903 3125 3960 16102

Question

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has a master's degree is chosen at random, what is the probability that they are aged 20-29? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 560 1335 351 515 2761Some college 1198 1274 1074 1281 4827Bachelor's degree 1830 1345 988 1634 5797Master's degree 526 949 712 530 2717Total 4114 4903 3125 3960 16102

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Solution

To find the probability that a randomly chosen resident with a master's degree is aged 20-29, follow these steps:

  1. Identify the total number of residents with a master's degree.
  2. Identify the number of residents with a master's degree who are aged 20-29.
  3. Calculate the probability by dividing the number of residents with a master's degree aged 20-29 by the total number of residents with a master's degree.
  4. Round the result to the nearest thousandth.

Step 1: Total number of residents with a master's degree: 2717 2717

Step 2: Number of residents with a master's degree aged 20-29: 526 526

Step 3: Calculate the probability: Probability=5262717 \text{Probability} = \frac{526}{2717}

Step 4: Perform the division and round to the nearest thousandth: 52627170.194 \frac{526}{2717} \approx 0.194

Therefore, the probability that a randomly chosen resident with a master's degree is aged 20-29 is approximately 0.194 0.194 .

This problem has been solved

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