Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the table shows the distribution, by age and gender, of the 27.4 millio…

Question

the table shows the distribution, by age and gender, of the 27.4 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
type an integer or decimal rounded to the nearest hundredth as needed.

Explanation:

Step1: Identify total number of people

The total number of people living alone in the region is 27.4 million (from the "Total" row and "Total" column of the table).

Step2: Identify number of people in 25 - 34 age - range

The number of people in the 25 - 34 age - range is 3.3 million (sum of male and female in the 25 - 34 age - row: 2.1+1.2 = 3.3).

Step3: Calculate probability

The probability $P$ of an event 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 $P=\frac{3.3}{27.4}\approx0.12$.

Answer:

0.12