Question

the following table represents the highest educational attainment of all adult residents in a certain town. if a resident who is 30-49 years old is chosen at random, what is the probability that they have completed a bachelors degree and no more? round your answer to the nearest thousandth.

	age 20-29	age 30-39	age 40-49	age 50 & over	total
some college	1580	682	1269	2908	6439
bachelors degree	1947	396	677	1636	4656
masters degree	538	624	677	530	2369
total	4690	2112	3210	6442	16454

Explanation:

Step1: Find the number of 30 - 49 years old with bachelor's degree

The number of 30 - 39 years old with bachelor's degree is \(396\), and the number of 40 - 49 years old with bachelor's degree is \(677\). So the total number of 30 - 49 years old with bachelor's degree is \(396+677 = 1073\).

Step2: Find the total number of 30 - 49 years old

The total number of 30 - 39 years old is \(2112\), and the total number of 40 - 49 years old is \(3210\). So the total number of 30 - 49 years old is \(2112 + 3210=5322\).

Step3: Calculate the probability

The probability \(P=\frac{1073}{5322}\approx0.202\)

Answer:

\(0.202\)