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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 40-49 is chosen at random, what is the probability that they have only completed some college? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 824 815 970 1266 3875Some college 626 1041 500 1474 3641Bachelor's degree 1596 1156 1129 2369 6250Master's degree 738 257 760 875 2630Total 3784 3269 3359 5984 16396

Question

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is aged 40-49 is chosen at random, what is the probability that they have only completed some college? Round your answer to the nearest thousandth.Age 20-29 Age 30-39 Age 40-49 Age 50 & over TotalHigh school only 824 815 970 1266 3875Some college 626 1041 500 1474 3641Bachelor's degree 1596 1156 1129 2369 6250Master's degree 738 257 760 875 2630Total 3784 3269 3359 5984 16396

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Solution

To find the probability that a randomly chosen resident aged 40-49 has only completed some college, follow these steps:

  1. Identify the total number of residents aged 40-49.
  2. Identify the number of residents aged 40-49 who have only completed some college.
  3. Calculate the probability by dividing the number of residents aged 40-49 who have only completed some college by the total number of residents aged 40-49.
  4. Round the result to the nearest thousandth.

Step 1: Identify the total number of residents aged 40-49. From the table, the total number of residents aged 40-49 is 3359.

Step 2: Identify the number of residents aged 40-49 who have only completed some college. From the table, the number of residents aged 40-49 who have only completed some college is 500.

Step 3: Calculate the probability. Probability=Number of residents aged 40-49 who have only completed some collegeTotal number of residents aged 40-49 \text{Probability} = \frac{\text{Number of residents aged 40-49 who have only completed some college}}{\text{Total number of residents aged 40-49}} Probability=5003359 \text{Probability} = \frac{500}{3359}

Step 4: Round the result to the nearest thousandth. Probability0.149 \text{Probability} \approx 0.149

Therefore, the probability that a randomly chosen resident aged 40-49 has only completed some college is approximately 0.149.

This problem has been solved

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