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 | 1145 | 1283 | 284 | 1672 | 4384 |\n| some college | 1551 | 611 | 1454 | 802 | 4418 |\n| bachelors degree | 696 | 1452 | 717 | 1309 | 4174 |\n| masters degree | 1092 | 618 | 280 | 831 | 2821 |\n| total | 4484 | 3964 | 2735 | 4614 | 15797 |

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 | 1145 | 1283 | 284 | 1672 | 4384 |\n| some college | 1551 | 611 | 1454 | 802 | 4418 |\n| bachelors degree | 696 | 1452 | 717 | 1309 | 4174 |\n| masters degree | 1092 | 618 | 280 | 831 | 2821 |\n| total | 4484 | 3964 | 2735 | 4614 | 15797 |

Answer

Explanation:

Step1: Identify relevant values

We want the probability that a resident with a master's degree is 40 or over. The number of master - degree residents aged 40 - 49 is 280 and aged 50 & over is 831. The total number of master - degree residents is 2821.

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

The number of master - degree residents aged 40 or over is $280 + 831=1111$.

Step3: Calculate the probability

The probability $P$ is the number of favorable outcomes (master - degree residents aged 40 or over) divided by the number of total outcomes (total master - degree residents). So $P=\frac{1111}{2821}\approx0.394$.

Answer:

0.394