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
Question
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
Solution
Para resolver esta pregunta, sigamos los siguientes pasos:
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Identificar los datos relevantes:
- Necesitamos los datos de las personas que han completado solo la escuela secundaria o solo algunos estudios universitarios.
- Nos enfocaremos en las personas de 50 años o más.
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Extraer los datos de la tabla:
- Personas con solo escuela secundaria y 50 años o más: 1056
- Personas con solo algunos estudios universitarios y 50 años o más: 1485
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Calcular el total de personas con solo escuela secundaria o solo algunos estudios universitarios:
- Total de personas con solo escuela secundaria: 4125
- Total de personas con solo algunos estudios universitarios: 4409
- Total combinado: 4125 + 4409 = 8534
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Calcular el total de personas con solo escuela secundaria o solo algunos estudios universitarios y 50 años o más:
- Total combinado: 1056 + 1485 = 2541
-
Calcular la probabilidad:
- Probabilidad = (Número de personas con solo escuela secundaria o solo algunos estudios universitarios y 50 años o más) / (Total de personas con solo escuela secundaria o solo algunos estudios universitarios)
- Probabilidad = 2541 / 8534
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Redondear la respuesta al milésimo más cercano:
- Probabilidad ≈ 0.298
Por lo tanto, la probabilidad de que un residente que ha completado solo la escuela secundaria o solo algunos estudios universitarios sea de 50 años o más es aproximadamente 0.298.
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