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 is aged 30 - 39 is chosen at random, what is the probability that they have completed a masters degree? 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 | 1478 | 384 | 812 | 2070 | 4744 |\n| some college | 2299 | 1374 | 412 | 730 | 4815 |\n| bachelors degree | 1973 | 1432 | 570 | 1223 | 5198 |\n| masters degree | 1045 | 914 | 497 | 663 | 3119 |\n| total | 6795 | 4104 | 2291 | 4686 | 17876 |

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 masters degree? 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 | 1478 | 384 | 812 | 2070 | 4744 |\n| some college | 2299 | 1374 | 412 | 730 | 4815 |\n| bachelors degree | 1973 | 1432 | 570 | 1223 | 5198 |\n| masters degree | 1045 | 914 | 497 | 663 | 3119 |\n| total | 6795 | 4104 | 2291 | 4686 | 17876 |

Answer

Explanation:

Step1: Identify relevant values

The number of residents aged 30 - 39 with a master's degree is 914, and the total number of residents aged 30 - 39 is 4104.

Step2: Calculate probability

The probability $P$ is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{914}{4104}$. $P=\frac{914}{4104}\approx 0.223$

Answer:

0.223