Question

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 under age 40? round your answer to the nearest thousandth.

	age 20 - 29	age 30 - 39	age 40 - 49	age 50 & over	total
high school only	1318	658	1085	1232	4293
some college	2057	842	1586	1228	5713
bachelors degree	1073	1118	1376	768	4335
masters degree	643	984	499	1173	3299
total	5091	3602	4546	4401	17640

Explanation:

Step1: Find total master's degree holders

Total = 3299

Step2: Calculate under 40 master's holders

Under 40 = 20-29 + 30-39 = 643 + 984 = 1627

Step3: Compute probability

Probability = $\frac{1627}{3299} \approx 0.493$

Answer:

0.493