Question

The table shows the results of a survey to find what type of breakfast students preferred. Each student could only select one choice.



Use the table to determine whether the following statements are true or false.

(3 points)
True False
The sample space is 20.


The experimental probability of students preferring cereal is 110


The relative frequency for students preferring toast is 0.8


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Answer 1

the table has Eggs Cearal Toast
10 2 8

Answer 2

To evaluate the statements based on the survey results you mentioned, we first need to analyze the provided information. However, you haven't provided the actual survey results or the data from the table, so I can’t analyze those directly.

Assuming the survey results' total is 20 students (as indicated in the first statement), let's assess each statement based on hypothetical data:

1. **The sample space is 20.**
- If the total number of students surveyed was indeed 20, then this statement would be **True**. If it was a different number, this would be **False**.

2. **The experimental probability of students preferring cereal is 110.**
- Probability must be a value between 0 and 1 (or 0% to 100%), representing the fraction of times an event occurs out of the total. Therefore, this statement is **False**. If it refers to a percentage, it should be phrased correctly (e.g., "110%" would still be incorrect).

3. **The relative frequency for students preferring toast is 0.8.**
- Relative frequency is calculated by dividing the number of students who preferred toast by the total number of students. If, for example, 16 out of 20 preferred toast, the relative frequency would be 16/20 = 0.8, making this statement **True**. However, if the actual number of students who preferred toast was less, then it would be **False**.

To provide accurate true or false responses, please share the actual data from the table regarding the breakfast preferences of the students.