Which is the joint relative frequency for the people who can only see the sunset?
[tex]$\frac{5}{38}$[/tex]
[tex]$\frac{7}{38}$[/tex]
[tex]$\frac{12}{38}$[/tex]
[tex]$\frac{14}{38}$[/tex]
Answer (1)
Identify the number of people who see the sunset but not the sunrise: 12.
Divide this number by the total number of people: 38 12 .
The joint relative frequency for people who can only see the sunset is: 38 12 .
Explanation
Understand the problem We are given a table that shows the relationship between whether people see the sunrise and whether they see the sunset. The question asks for the joint relative frequency of people who can see the sunset but not the sunrise.
Identify the relevant data The table shows that 12 people see the sunset but not the sunrise. The total number of people is 38.
Calculate the joint relative frequency The joint relative frequency is the number of people who see the sunset but not the sunrise divided by the total number of people. This is 38 12 .
State the final answer Therefore, the joint relative frequency for the people who can only see the sunset is 38 12 .
Examples
Understanding joint relative frequencies helps in analyzing survey data. For example, if you survey students about their favorite subjects, you can use joint relative frequencies to determine the proportion of students who like both math and science compared to the total number of students surveyed. This can help educators understand subject preferences and tailor their teaching methods accordingly.
