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Science Bowl Question

📅 MIT Science Bowl 2024🎓 HS🔄 Round 6#️⃣ Question 9 TOSS UP📝 Multiple Choice

Researchers at MIT's Statistics and Data Science center applied the central limit theorem to model probability distributions that grow over time. For example, suppose every millisecond a point is drawn independently from a normal distribution and added to a list. Which of the following is not true about this process according to the central limit theorem?

W) The mean of a point drawn does not change over time
X) The variance of a point drawn does not change over time
Y) The mean of the list's average changes over time
Z) The variance of the list's average changes over time
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