The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed high school 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 872 1166 1036 726 3800Some college 1618 525 1218 1519 4880Bachelor's degree 1721 1596 977 791 5085Master's degree 761 804 204 1213 2982Total 4972 4091 3435 4249 16747
Question
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed high school 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 872 1166 1036 726 3800Some college 1618 525 1218 1519 4880Bachelor's degree 1721 1596 977 791 5085Master's degree 761 804 204 1213 2982Total 4972 4091 3435 4249 16747
Solution
To find the probability that a resident who has only completed high school is aged 30-49, follow these steps:
- Identify the total number of residents who have only completed high school.
- Identify the number of residents who have only completed high school and are aged 30-49.
- Calculate the probability by dividing the number of residents who have only completed high school and are aged 30-49 by the total number of residents who have only completed high school.
- Round the result to the nearest thousandth.
Step 1: Total number of residents who have only completed high school:
Step 2: Number of residents who have only completed high school and are 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 who has only completed high school is aged 30-49 is approximately 0.579.
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