The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is under 40 years old is chosen at random, what is the probability that they have only completed high school? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 577 447 988 688 2700Some college 2020 899 1352 853 5124Bachelor's degree 958 1686 1152 2235 6031Master's degree 335 859 804 1196 3194Total 3890 3891 4296 4972 17049
Question
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is under 40 years old is chosen at random, what is the probability that they have only completed high school? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 577 447 988 688 2700Some college 2020 899 1352 853 5124Bachelor's degree 958 1686 1152 2235 6031Master's degree 335 859 804 1196 3194Total 3890 3891 4296 4972 17049
Solution
To calculate the probability, we first need to find the total number of residents under 40 years old. This is the sum of the totals for the age groups 20-29 and 30-39, which is 3890 + 3891 = 7781.
Next, we need to find the number of residents under 40 years old who have only completed high school. This is the sum of the numbers for the age groups 20-29 and 30-39 in the "High school only" row, which is 577 + 447 = 1024.
The probability that a resident under 40 years old has only completed high school is then the number of such residents divided by the total number of residents under 40 years old. This is 1024 / 7781 = 0.1316.
Rounding to the nearest thousandth, the probability is 0.132.
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