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 30-49? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 1152 796 1070 886 3904Some college 1886 1526 1225 2628 7265Bachelor's degree 1218 598 646 1740 4202Master's degree 557 709 221 515 2002Total 4813 3629 3162 5769 17373
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 30-49? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 1152 796 1070 886 3904Some college 1886 1526 1225 2628 7265Bachelor's degree 1218 598 646 1740 4202Master's degree 557 709 221 515 2002Total 4813 3629 3162 5769 17373
Solution
To find the probability that a resident with a master's degree is aged 30-49, follow these steps:
- Identify the total number of residents with a master's degree.
- Identify the number of residents with a master's degree who are aged 30-49.
- Calculate the probability by dividing the number of residents with a master's degree aged 30-49 by the total number of residents with a master's degree.
- Round the result to the nearest thousandth.
Step 1: Total number of residents with a master's degree:
Step 2: Number of residents with a master's degree aged 30-49:
Step 3: Calculate the probability:
Step 4: Perform the division and round to the nearest thousandth:
Therefore, the probability that a resident with a master's degree is aged 30-49 is approximately .
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