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The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is aged 30-39 is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 815 921 656 1915 4307Some college 581 1135 556 2433 4705Bachelor's degree 1941 1387 1380 616 5324Master's degree 439 484 464 422 1809Total 3776 3927 3056 5386 16145

Question

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is aged 30-39 is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 815 921 656 1915 4307Some college 581 1135 556 2433 4705Bachelor's degree 1941 1387 1380 616 5324Master's degree 439 484 464 422 1809Total 3776 3927 3056 5386 16145

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Solution

To find the probability that a randomly chosen resident aged 30-39 has completed a bachelor's degree and no more, follow these steps:

  1. Identify the total number of residents aged 30-39.
  2. Identify the number of residents aged 30-39 who have completed a bachelor's degree.
  3. Calculate the probability by dividing the number of residents with a bachelor's degree by the total number of residents aged 30-39.
  4. Round the result to the nearest thousandth.

Step 1: Total number of residents aged 30-39 From the table, the total number of residents aged 30-39 is 3927.

Step 2: Number of residents aged 30-39 with a bachelor's degree From the table, the number of residents aged 30-39 with a bachelor's degree is 1387.

Step 3: Calculate the probability Probability=Number of residents aged 30-39 with a bachelor’s degreeTotal number of residents aged 30-39 \text{Probability} = \frac{\text{Number of residents aged 30-39 with a bachelor's degree}}{\text{Total number of residents aged 30-39}} Probability=13873927 \text{Probability} = \frac{1387}{3927}

Step 4: Perform the division and round to the nearest thousandth Probability0.353 \text{Probability} \approx 0.353

Therefore, the probability that a randomly chosen resident aged 30-39 has completed a bachelor's degree and no more is approximately 0.353.

This problem has been solved

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