Question

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 20-29? round your answer to the nearest thousandth.

	age 20-29	age 30-39	age 40-49	age 50 & over	total
high school only	1372	978	726	1446	4522
some college	1964	1423	527	2348	6262
bachelors degree	796	598	972	902	3268
masters degree	957	304	465	620	2346
total	5089	3303	2690	5316	16398

Explanation:

Step1: Identify the number of masters degree holders aged 20 - 29

From the table, the number of master's degree holders aged 20 - 29 is \(957\).

Step2: Identify the total number of master's degree holders

From the table, the total number of master's degree holders is \(2346\).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P = \frac{957}{2346}\).
Using a calculator, \(\frac{957}{2346}\approx0.408\)

Answer:

\(0.408\)