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 40 or over? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 1145 1283 284 1672 4384Some college 1551 611 1454 802 4418Bachelor's degree 696 1452 717 1309 4174Master's degree 1092 618 280 831 2821Total 4484 3964 2735 4614 15797
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 40 or over? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 1145 1283 284 1672 4384Some college 1551 611 1454 802 4418Bachelor's degree 696 1452 717 1309 4174Master's degree 1092 618 280 831 2821Total 4484 3964 2735 4614 15797
Solution
To find the probability that a resident with a master's degree is aged 40 or over, 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 40 or over.
- Calculate the probability by dividing the number of residents with a master's degree who are aged 40 or over 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 who are aged 40 or over: 280 \text{ (Age 40-49)} + 831 \text{ (Age 50 & over)} = 1111
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 40 or over is approximately .
Similar Questions
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