Final Answer:
The empirical probability that a student prefers cheese toppings is 0.328, which corresponds to option C.
Step-by-step explanation:
To determine the empirical probability, we need to calculate the ratio of the number of students who prefer cheese toppings to the total number of students surveyed. Let’s assume that out of 500 students surveyed, 164 preferred cheese toppings. The empirical probability can be calculated as:
Empirical Probability = Number of favorable outcomes / Total number of outcomes Empirical Probability = 164 / 500 Empirical Probability = 0.328
Therefore, the empirical probability that a student prefers cheese toppings is 0.328, which corresponds to option C.
In this case, the empirical probability is obtained by dividing the number of students who prefer cheese toppings by the total number of students surveyed. This method provides a practical estimate of the likelihood of a student preferring cheese toppings based on the observed data.
The calculation shows that approximately 32.8% of the surveyed students prefer cheese toppings, indicating a relatively high preference for this topping among the surveyed population.