To assess the statements regarding the survey results on breakfast preferences, we need some additional information from the table you mentioned, such as the total number of students and the number of students who preferred each breakfast type (cereal, toast, etc.). However, I can help you determine the truth of each statement based on the definitions of key concepts:
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Experimental probability: This is calculated as the number of favorable outcomes divided by the total number of trials (students surveyed).
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Sample space: This refers to the total number of possible outcomes or the total number of students surveyed in this case.
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Relative frequency: This is the ratio of the number of times an event occurs (students preferring toast) to the total number of events (total students surveyed).
With these definitions in mind, let's evaluate your statements:
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The experimental probability of students preferring cereal is 110: False – Experimental probability is a value between 0 and 1 (or expressed as a percentage between 0% and 100%). It cannot be a whole number like 110.
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The sample space is 20: This is undetermined as we lack the actual data provided in the table to assess. If the total number of students surveyed is indeed 20, then this statement is True. Otherwise, it is False.
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The relative frequency for students preferring toast is 0.8: This is undetermined as we need the total number of students who preferred toast to calculate this. If 80% of the surveyed students preferred toast and the total number of students surveyed is 20, then the relative frequency could indeed be 0.8. Otherwise, it is False.
To give accurate answers, please provide the data from the table you mentioned.
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