Answer :
Sure, let's go through each of the questions step by step.
### Part 1: Relative Frequency for Students Who Have Been to Hawaii But Not Alaska
We need to find the relative frequency for students who have visited Hawaii but not Alaska.
1. From the table, identify the number of students who have been to Hawaii but not Alaska. This value is [tex]\( 15 \)[/tex].
2. The total number of students surveyed is [tex]\( 50 \)[/tex].
3. The relative frequency is calculated as:
[tex]\[ \text{Relative frequency} = \frac{\text{Number of students who have been to Hawaii but not Alaska}}{\text{Total number of students}} \][/tex]
Substituting the values we get:
[tex]\[ \text{Relative frequency} = \frac{15}{50} = 0.3 \][/tex]
So, the relative frequency for students who have been to Hawaii but not Alaska is [tex]\( 0.3 \)[/tex].
### Part 2: Relative Frequency for Students Who Have Not Been to Alaska or Hawaii
We need to find the relative frequency for students who have not visited either Alaska or Hawaii.
1. From the table, identify the number of students who have not been to Alaska or Hawaii. This value is [tex]\( 21 \)[/tex].
2. The total number of students surveyed is [tex]\( 50 \)[/tex].
3. The relative frequency is calculated as:
[tex]\[ \text{Relative frequency} = \frac{\text{Number of students who have not been to Alaska or Hawaii}}{\text{Total number of students}} \][/tex]
Substituting the values we get:
[tex]\[ \text{Relative frequency} = \frac{21}{50} = 0.42 \][/tex]
So, the relative frequency for students who have not been to Alaska or Hawaii is [tex]\( 0.42 \)[/tex].
### Part 1: Relative Frequency for Students Who Have Been to Hawaii But Not Alaska
We need to find the relative frequency for students who have visited Hawaii but not Alaska.
1. From the table, identify the number of students who have been to Hawaii but not Alaska. This value is [tex]\( 15 \)[/tex].
2. The total number of students surveyed is [tex]\( 50 \)[/tex].
3. The relative frequency is calculated as:
[tex]\[ \text{Relative frequency} = \frac{\text{Number of students who have been to Hawaii but not Alaska}}{\text{Total number of students}} \][/tex]
Substituting the values we get:
[tex]\[ \text{Relative frequency} = \frac{15}{50} = 0.3 \][/tex]
So, the relative frequency for students who have been to Hawaii but not Alaska is [tex]\( 0.3 \)[/tex].
### Part 2: Relative Frequency for Students Who Have Not Been to Alaska or Hawaii
We need to find the relative frequency for students who have not visited either Alaska or Hawaii.
1. From the table, identify the number of students who have not been to Alaska or Hawaii. This value is [tex]\( 21 \)[/tex].
2. The total number of students surveyed is [tex]\( 50 \)[/tex].
3. The relative frequency is calculated as:
[tex]\[ \text{Relative frequency} = \frac{\text{Number of students who have not been to Alaska or Hawaii}}{\text{Total number of students}} \][/tex]
Substituting the values we get:
[tex]\[ \text{Relative frequency} = \frac{21}{50} = 0.42 \][/tex]
So, the relative frequency for students who have not been to Alaska or Hawaii is [tex]\( 0.42 \)[/tex].
