Question

the table shows the distribution, by age and gender, of the 28.8 million people in a certain region who live alone. use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone.

	man	woman	total
ages 25–34	2.1	1.1	3.2
ages 35–44	2.3	1.2	3.5
ages 45–64	4.5	5.0	9.5
ages 65–74	1.1	2.6	3.7
ages ≥75	1.9	5.3	7.2
total	12.7	16.1	28.8

the probability is
( type an integer or decimal rounded to the nearest hundredth as needed )

Explanation:

Step1: Recall the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes is the number of women in the 18 - 24 age range (\(0.9\) million), and the total number of outcomes is the total number of people living alone (\(28.8\) million).

Step2: Calculate the probability

Using the formula \(P=\frac{0.9}{28.8}\). Simplify the fraction: \(\frac{0.9}{28.8}=\frac{9}{288}=\frac{1}{32}\approx0.03\)

Answer:

\(0.03\)