the following table represents the highest educational attainment of all adult residents in a certain town…

the following table represents the highest educational attainment of all adult residents in a certain town. if a resident who has a masters degree is chosen at random, what is the probability that they are aged 40 or over? round your answer to the nearest thousandth.\n| | age 20 - 29 | age 30 - 39 | age 40 - 49 | age 50 & over | total |\n|--|--|--|--|--|--|\n| high school only | 1690 | 636 | 1056 | 2019 | 5401 |\n| some college | 1108 | 482 | 1302 | 1093 | 3985 |\n| bachelors degree | 1022 | 1655 | 676 | 1523 | 4876 |\n| masters degree | 494 | 402 | 367 | 962 | 2225 |\n| total | 4314 | 3175 | 3401 | 5597 | 16487 |

the following table represents the highest educational attainment of all adult residents in a certain town. if a resident who has a masters degree is chosen at random, what is the probability that they are aged 40 or over? round your answer to the nearest thousandth.\n| | age 20 - 29 | age 30 - 39 | age 40 - 49 | age 50 & over | total |\n|--|--|--|--|--|--|\n| high school only | 1690 | 636 | 1056 | 2019 | 5401 |\n| some college | 1108 | 482 | 1302 | 1093 | 3985 |\n| bachelors degree | 1022 | 1655 | 676 | 1523 | 4876 |\n| masters degree | 494 | 402 | 367 | 962 | 2225 |\n| total | 4314 | 3175 | 3401 | 5597 | 16487 |

Answer

Explanation:

Step1: Identify relevant numbers

We want the probability of a resident with a master's degree being 40 or over. The number of master - degree holders aged 40 - 49 is 367 and aged 50 & over is 962. The total number of master - degree holders is 2225.

Step2: Calculate the number of master - degree holders aged 40 or over

The number of master - degree holders aged 40 or over is $367 + 962=1329$.

Step3: Calculate the probability

The probability $P$ is the number of master - degree holders aged 40 or over divided by the total number of master - degree holders. So $P=\frac{1329}{2225}\approx0.597$.

Answer:

0.597