Questions: 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.

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.
Transcript text: 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.
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Solution

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Solution Steps

To find the probability that a randomly chosen resident with a master's degree is aged 20-29, we need to divide the number of residents with a master's degree aged 20-29 by the total number of residents with a master's degree.

Step 1: Identify the Relevant Values

From the data provided, we have:

  • Number of residents with a master's degree aged 20-29: \( 957 \)
  • Total number of residents with a master's degree: \( 2346 \)
Step 2: Calculate the Probability

The probability \( P \) that a randomly chosen resident with a master's degree is aged 20-29 can be calculated using the formula: \[ P = \frac{\text{Number of residents with a master's degree aged 20-29}}{\text{Total number of residents with a master's degree}} = \frac{957}{2346} \]

Step 3: Round the Result

Calculating the above expression gives: \[ P \approx 0.4079283887468031 \] Rounding this to the nearest thousandth, we get: \[ P \approx 0.408 \]

Final Answer

Thus, the probability that a randomly chosen resident with a master's degree is aged 20-29 is \[ \boxed{0.408} \]

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