The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 985 1201 785 1410 4381Some college 1270 1298 1356 2498 6422Bachelor's degree 646 1715 1315 1653 5329Master's degree 500 549 772 1350 3171Total 3401 4763 4228 6911 19303
Question
The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 985 1201 785 1410 4381Some college 1270 1298 1356 2498 6422Bachelor's degree 646 1715 1315 1653 5329Master's degree 500 549 772 1350 3171Total 3401 4763 4228 6911 19303
Solution 1
To find the probability that a randomly chosen adult from the town has a high school degree or some college but no college degree, follow these steps:
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Identify the relevant categories: We need to consider adults with "High school only" and "Some college" education levels.
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Sum the frequencies of these categories:
- High school only: 4381
- Some college: 6422
Total for these categories = 4381 + 6422 = 10803
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Find the total number of adults: The total number of adults in the town is given as 19303.
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Calculate the probability:
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Perform the division:
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Round to the nearest thousandth: The probability rounded to the nearest thousandth is 0.559.
Therefore, the probability that a randomly chosen adult from the town has a high school degree or some college but no college degree is approximately 0.559.
Solution 2
To find the probability that a randomly chosen adult from the town has a high school degree or some college but no college degree, we need to follow these steps:
-
Identify the relevant categories: We are interested in adults with "High school only" and "Some college" education levels.
-
Sum the frequencies of these categories:
- High school only: 4381
- Some college: 6422
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Calculate the total number of adults: The total number of adults is given as 19303.
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Add the frequencies of the relevant categories:
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Calculate the probability:
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Perform the division and round to the nearest thousandth:
Therefore, the probability that a randomly chosen adult from the town has a high school degree or some college but no college degree is approximately 0.560.
Similar Questions
he following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has completed just high school or only some college is chosen at random, what is the probability that they are aged 50 or over? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 931 1213 925 1056 4125Some college 1167 531 1226 1485 4409Bachelor's degree 1342 594 755 1116 3807Master's degree 970 454 444 1139 3007Total 4410 2792 3350 4796 15348
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