Question

the table shows the distribution, by age and gender, of the 28.4 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.

	ages 18 - 24	ages 25 - 34	ages 35 - 44	ages 45 - 64	ages 65 - 74	ages ≥ 75	total
woman	0.9	1.9	1.9	4.0	2.7	4.5	15.9
total	1.7	4.0	4.5	8.1	3.9	6.2	28.4

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

Explanation:

Step1: Identify relevant values

We need the number of women in 18 - 24 age range and the total number of people. From the table, number of women in 18 - 24 is 0.9 (in millions), total people is 28.4 (in millions).

Step2: Calculate probability

Probability is the number of favorable outcomes (women 18 - 24) divided by total outcomes (total people). So, probability $=\frac{0.9}{28.4}$.

Step3: Compute the division

$\frac{0.9}{28.4}\approx0.0317\approx0.03$ (rounded to nearest hundredth).

Answer:

0.03