Question

the following table represents the highest educational attainment of all adult residents in a certain town. if a resident who is aged 20-29 is chosen at random, what is the probability that they have completed only high school or just some college? round your answer to the nearest thousandth.

	age 20-29	age 30-39	age 40-49	age 50 & over	total
some college	1003	1757	654	1420	4834
bachelors degree	1995	729	402	1077	4203
masters degree	294	333	590	809	2026

Explanation:

Step1: Calculate the number of residents aged 20 - 29

Add up the values in the "Age 20 - 29" column:
\(1642+1003 + 1995+294=4934\)

Step2: Calculate the number of residents aged 20 - 29 with only high school or some college

Add the number of residents aged 20 - 29 with only high school (\(1642\)) and with some college (\(1003\)):
\(1642 + 1003=2645\)

Step3: Calculate the probability

Use the formula for probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes is the number of 20 - 29 - year - olds with only high school or some college (\(2645\)), and the total number of outcomes is the number of 20 - 29 - year - olds (\(4934\)).
\(P=\frac{2645}{4934}\approx0.536\)

Answer:

\(0.536\)