Asked by ken

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has completed a bachelor's or a master's degree is chosen at random, what is the probability that they are aged 30-49? Round your answer to the nearest thousandth.
Age 20-29 Age 30-39 Age 40-49 Age 50 & over Total
High school only 803 1351 282 1309 3745
Some college 1957 1307 953 2146 6363
Bachelor's degree 1465 407 511 1179 3562
Master's degree 936 290 496 578 2300
Total 5161 3355 2242 5212 15970

All Answers 1

Answered by GPT-5 mini AI
We want P(age 30–49 | bachelor's or master's) = (number with bachelor's or master's and age 30–49) / (total with bachelor's or master's).

Number aged 30–49 with bachelor's or master's = 407+511+290+496 = 1704.
Total with bachelor's or master's = 3562+2300 = 5862.

Probability = 1704 / 5862 ≈ 0.290686 ≈ 0.291 (to the nearest thousandth).