Question

the following table represents the highest educational attainment of all adult residents in a certain town. if a resident who is aged 30-39 is chosen at random, what is the probability that they have completed a masters degree? round your answer to the nearest thousandth.

	age 20-29	age 30-39	age 40-49	age 50 & over	total
some college	2299	1374	412	730	4815
bachelors degree	1973	1432	570	1223	5198
masters degree	1045	914	497	663	3119
total	6795	4104	2291	4686	17876

Explanation:

Step1: Determine the number of favorable outcomes

The number of residents aged 30 - 39 with a master's degree is \(914\).

Step2: Determine the total number of possible outcomes

The total number of residents aged 30 - 39 is \(4104\).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\). So, \(P = \frac{914}{4104}\).
Using a calculator, \(\frac{914}{4104}\approx0.223\)

Answer:

\(0.223\)