Question

the table shows the distribution, by age and gender, of the 29.8 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	2.4	1.6	4.0
ages 45 - 64	4.9	6.0	10.9
ages 65 - 74	1.9	2.6	4.5
ages ≥75	1.4	4.5	5.9
total	13.4	16.4	29.8

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

Explanation:

Step1: Identify total number of people

The total number of people in the region who live alone is 29.8 million (from the 'Total' row at the bottom - right of the table).

Step2: Identify number of women

The total number of women who live alone is 16.4 million (from the 'Woman' - 'Total' cell).

Step3: Calculate probability

The probability $P$ that a randomly - selected person is a woman is given by the formula $P=\frac{\text{Number of women}}{\text{Total number of people}}$. So, $P = \frac{16.4}{29.8}\approx0.55$.

Answer:

0.55