Question

the table shows the distribution, by age and gender, of the 29.0 million people who live alone in a certain region. use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25–34 age range.

	ages 18–24	ages 25–34	ages 35–44	ages 45–64	ages 65–74	ages ≥75	total
male	0.8	2.4	2.1	4.2	1.8	1.1	12.4
female	0.5	1.1	1.7	6.0	2.7	4.6	16.6
total	1.3	3.5	3.8	10.2	4.5	5.7	29.0

the probability is \boxed{}.
(type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Identify the number of people in the 25 - 34 age range

From the table, the total number of people in the 25 - 34 age range is \(3.5\) million.

Step2: Identify the total number of people living alone

The total number of people living alone is \(29.0\) million.

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes is the number of people in the 25 - 34 age range, and the total number of outcomes is the total number of people living alone. So \(P = \frac{3.5}{29.0}\approx0.12\)

Answer:

\(0.12\)